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Finding the Fourth Proportional to 521,000.98, 781,492.94 and 166,010.20

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Solution

The fourth proportional to 521,000.98, 781,492.94 and 166,010.20 is: 249,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,000.98 : 781,492.94 = 166,010.20 : x
  2. Step 2: Convert to fraction form
    521,000.98/781,492.94 = 166,010.20/x
  3. Step 3: Cross multiply
    521,000.98x = 781,492.94 × 166,010.20
  4. Step 4: Simplify right side
    521,000.98x = 129,735,799,267.99
  5. Step 5: Solve for x
    x = 129,735,799,267.99/521,000.98
  6. Step 6: Final answer
    x = 249,012.58

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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.