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Finding the Fourth Proportional to 518,734.32, 776,847.52 and 429,329.76

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Solution

The fourth proportional to 518,734.32, 776,847.52 and 429,329.76 is: 642,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,734.32 : 776,847.52 = 429,329.76 : x
  2. Step 2: Convert to fraction form
    518,734.32/776,847.52 = 429,329.76/x
  3. Step 3: Cross multiply
    518,734.32x = 776,847.52 × 429,329.76
  4. Step 4: Simplify right side
    518,734.32x = 333,523,759,318.20
  5. Step 5: Solve for x
    x = 333,523,759,318.20/518,734.32
  6. Step 6: Final answer
    x = 642,956.80

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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.