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Finding the Fourth Proportional to 565,501.52, 780,393.68 and 323,787.80

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Solution

The fourth proportional to 565,501.52, 780,393.68 and 323,787.80 is: 446,828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,501.52 : 780,393.68 = 323,787.80 : x
  2. Step 2: Convert to fraction form
    565,501.52/780,393.68 = 323,787.80/x
  3. Step 3: Cross multiply
    565,501.52x = 780,393.68 × 323,787.80
  4. Step 4: Simplify right side
    565,501.52x = 252,681,952,781.10
  5. Step 5: Solve for x
    x = 252,681,952,781.10/565,501.52
  6. Step 6: Final answer
    x = 446,828.07

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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.