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Finding the Fourth Proportional to 650,023.68, 974,887.89 and 312,892.17

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Solution

The fourth proportional to 650,023.68, 974,887.89 and 312,892.17 is: 469,267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,023.68 : 974,887.89 = 312,892.17 : x
  2. Step 2: Convert to fraction form
    650,023.68/974,887.89 = 312,892.17/x
  3. Step 3: Cross multiply
    650,023.68x = 974,887.89 × 312,892.17
  4. Step 4: Simplify right side
    650,023.68x = 305,034,787,408.82
  5. Step 5: Solve for x
    x = 305,034,787,408.82/650,023.68
  6. Step 6: Final answer
    x = 469,267.19

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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.