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Finding the Fourth Proportional to 472,415.70, 708,623.55 and 431,081.40

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Solution

The fourth proportional to 472,415.70, 708,623.55 and 431,081.40 is: 646,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,415.70 : 708,623.55 = 431,081.40 : x
  2. Step 2: Convert to fraction form
    472,415.70/708,623.55 = 431,081.40/x
  3. Step 3: Cross multiply
    472,415.70x = 708,623.55 × 431,081.40
  4. Step 4: Simplify right side
    472,415.70x = 305,474,432,006.97
  5. Step 5: Solve for x
    x = 305,474,432,006.97/472,415.70
  6. Step 6: Final answer
    x = 646,622.10

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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.