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Finding the Fourth Proportional to 472,364.70, 708,547.05 and 431,030.40

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Solution

The fourth proportional to 472,364.70, 708,547.05 and 431,030.40 is: 646,545.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,364.70 : 708,547.05 = 431,030.40 : x
  2. Step 2: Convert to fraction form
    472,364.70/708,547.05 = 431,030.40/x
  3. Step 3: Cross multiply
    472,364.70x = 708,547.05 × 431,030.40
  4. Step 4: Simplify right side
    472,364.70x = 305,405,318,380.32
  5. Step 5: Solve for x
    x = 305,405,318,380.32/472,364.70
  6. Step 6: Final answer
    x = 646,545.60

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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.