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Finding the Fourth Proportional to 564,977.66, 847,467.90 and 138,515.40

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Solution

The fourth proportional to 564,977.66, 847,467.90 and 138,515.40 is: 207,773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,977.66 : 847,467.90 = 138,515.40 : x
  2. Step 2: Convert to fraction form
    564,977.66/847,467.90 = 138,515.40/x
  3. Step 3: Cross multiply
    564,977.66x = 847,467.90 × 138,515.40
  4. Step 4: Simplify right side
    564,977.66x = 117,387,355,155.66
  5. Step 5: Solve for x
    x = 117,387,355,155.66/564,977.66
  6. Step 6: Final answer
    x = 207,773.45

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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.