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Finding the Fourth Proportional to 487,726.80, 733,145.40 and 459,733.20

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Solution

The fourth proportional to 487,726.80, 733,145.40 and 459,733.20 is: 691,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,726.80 : 733,145.40 = 459,733.20 : x
  2. Step 2: Convert to fraction form
    487,726.80/733,145.40 = 459,733.20/x
  3. Step 3: Cross multiply
    487,726.80x = 733,145.40 × 459,733.20
  4. Step 4: Simplify right side
    487,726.80x = 337,051,280,807.28
  5. Step 5: Solve for x
    x = 337,051,280,807.28/487,726.80
  6. Step 6: Final answer
    x = 691,065.74

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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.