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Finding the Fourth Proportional to 472,365.70, 708,548.55 and 431,031.40

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Solution

The fourth proportional to 472,365.70, 708,548.55 and 431,031.40 is: 646,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,365.70 : 708,548.55 = 431,031.40 : x
  2. Step 2: Convert to fraction form
    472,365.70/708,548.55 = 431,031.40/x
  3. Step 3: Cross multiply
    472,365.70x = 708,548.55 × 431,031.40
  4. Step 4: Simplify right side
    472,365.70x = 305,406,673,474.47
  5. Step 5: Solve for x
    x = 305,406,673,474.47/472,365.70
  6. Step 6: Final answer
    x = 646,547.10

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.