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Finding the Fourth Proportional to 472,600.32, 709,232.88 and 427,427.52

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Solution

The fourth proportional to 472,600.32, 709,232.88 and 427,427.52 is: 641,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,600.32 : 709,232.88 = 427,427.52 : x
  2. Step 2: Convert to fraction form
    472,600.32/709,232.88 = 427,427.52/x
  3. Step 3: Cross multiply
    472,600.32x = 709,232.88 × 427,427.52
  4. Step 4: Simplify right side
    472,600.32x = 303,145,651,000.86
  5. Step 5: Solve for x
    x = 303,145,651,000.86/472,600.32
  6. Step 6: Final answer
    x = 641,441.91

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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.