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Finding the Fourth Proportional to 565,761.96, 780,772.68 and 339,363.72

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Solution

The fourth proportional to 565,761.96, 780,772.68 and 339,363.72 is: 468,334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,761.96 : 780,772.68 = 339,363.72 : x
  2. Step 2: Convert to fraction form
    565,761.96/780,772.68 = 339,363.72/x
  3. Step 3: Cross multiply
    565,761.96x = 780,772.68 × 339,363.72
  4. Step 4: Simplify right side
    565,761.96x = 264,965,921,159.17
  5. Step 5: Solve for x
    x = 264,965,921,159.17/565,761.96
  6. Step 6: Final answer
    x = 468,334.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.