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Finding the Fourth Proportional to 657,446.49, 986,213.48 and 230,930.46

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Solution

The fourth proportional to 657,446.49, 986,213.48 and 230,930.46 is: 346,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,446.49 : 986,213.48 = 230,930.46 : x
  2. Step 2: Convert to fraction form
    657,446.49/986,213.48 = 230,930.46/x
  3. Step 3: Cross multiply
    657,446.49x = 986,213.48 × 230,930.46
  4. Step 4: Simplify right side
    657,446.49x = 227,746,731,439.95
  5. Step 5: Solve for x
    x = 227,746,731,439.95/657,446.49
  6. Step 6: Final answer
    x = 346,411.05

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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.