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Finding the Fourth Proportional to 472,003.20, 707,227.20 and 402,019.20

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Solution

The fourth proportional to 472,003.20, 707,227.20 and 402,019.20 is: 602,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,003.20 : 707,227.20 = 402,019.20 : x
  2. Step 2: Convert to fraction form
    472,003.20/707,227.20 = 402,019.20/x
  3. Step 3: Cross multiply
    472,003.20x = 707,227.20 × 402,019.20
  4. Step 4: Simplify right side
    472,003.20x = 284,318,913,162.24
  5. Step 5: Solve for x
    x = 284,318,913,162.24/472,003.20
  6. Step 6: Final answer
    x = 602,366.49

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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.