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Finding the Fourth Proportional to 429,446.64, 643,969.96 and 159,386.70

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Solution

The fourth proportional to 429,446.64, 643,969.96 and 159,386.70 is: 239,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,446.64 : 643,969.96 = 159,386.70 : x
  2. Step 2: Convert to fraction form
    429,446.64/643,969.96 = 159,386.70/x
  3. Step 3: Cross multiply
    429,446.64x = 643,969.96 × 159,386.70
  4. Step 4: Simplify right side
    429,446.64x = 102,640,246,823.53
  5. Step 5: Solve for x
    x = 102,640,246,823.53/429,446.64
  6. Step 6: Final answer
    x = 239,005.82

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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.