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Finding the Fourth Proportional to 832,492.92, 1,148,892.14 and 469,978.20

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Solution

The fourth proportional to 832,492.92, 1,148,892.14 and 469,978.20 is: 648,599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,492.92 : 1,148,892.14 = 469,978.20 : x
  2. Step 2: Convert to fraction form
    832,492.92/1,148,892.14 = 469,978.20/x
  3. Step 3: Cross multiply
    832,492.92x = 1,148,892.14 × 469,978.20
  4. Step 4: Simplify right side
    832,492.92x = 539,954,259,951.35
  5. Step 5: Solve for x
    x = 539,954,259,951.35/832,492.92
  6. Step 6: Final answer
    x = 648,599.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.