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Finding the Fourth Proportional to 472,616.40, 707,612.40 and 459,494.40

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Solution

The fourth proportional to 472,616.40, 707,612.40 and 459,494.40 is: 687,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,616.40 : 707,612.40 = 459,494.40 : x
  2. Step 2: Convert to fraction form
    472,616.40/707,612.40 = 459,494.40/x
  3. Step 3: Cross multiply
    472,616.40x = 707,612.40 × 459,494.40
  4. Step 4: Simplify right side
    472,616.40x = 325,143,935,170.56
  5. Step 5: Solve for x
    x = 325,143,935,170.56/472,616.40
  6. Step 6: Final answer
    x = 687,965.83

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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.