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Finding the Fourth Proportional to 291,639, 402,461.82 and 157,503

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Solution

The fourth proportional to 291,639, 402,461.82 and 157,503 is: 217,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,639 : 402,461.82 = 157,503 : x
  2. Step 2: Convert to fraction form
    291,639/402,461.82 = 157,503/x
  3. Step 3: Cross multiply
    291,639x = 402,461.82 × 157,503
  4. Step 4: Simplify right side
    291,639x = 63,388,944,035.46
  5. Step 5: Solve for x
    x = 63,388,944,035.46/291,639
  6. Step 6: Final answer
    x = 217,354.14

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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.