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Finding the Fourth Proportional to 475,265.44, 712,898 and 120,281.28

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Solution

The fourth proportional to 475,265.44, 712,898 and 120,281.28 is: 180,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,265.44 : 712,898 = 120,281.28 : x
  2. Step 2: Convert to fraction form
    475,265.44/712,898 = 120,281.28/x
  3. Step 3: Cross multiply
    475,265.44x = 712,898 × 120,281.28
  4. Step 4: Simplify right side
    475,265.44x = 85,748,283,949.44
  5. Step 5: Solve for x
    x = 85,748,283,949.44/475,265.44
  6. Step 6: Final answer
    x = 180,421.88

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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.