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Finding the Fourth Proportional to 472,564.32, 709,178.88 and 427,391.52

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Solution

The fourth proportional to 472,564.32, 709,178.88 and 427,391.52 is: 641,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,564.32 : 709,178.88 = 427,391.52 : x
  2. Step 2: Convert to fraction form
    472,564.32/709,178.88 = 427,391.52/x
  3. Step 3: Cross multiply
    472,564.32x = 709,178.88 × 427,391.52
  4. Step 4: Simplify right side
    472,564.32x = 303,097,039,475.10
  5. Step 5: Solve for x
    x = 303,097,039,475.10/472,564.32
  6. Step 6: Final answer
    x = 641,387.91

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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.