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Finding the Fourth Proportional to 521,434.24, 782,279.36 and 166,448

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Solution

The fourth proportional to 521,434.24, 782,279.36 and 166,448 is: 249,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,434.24 : 782,279.36 = 166,448 : x
  2. Step 2: Convert to fraction form
    521,434.24/782,279.36 = 166,448/x
  3. Step 3: Cross multiply
    521,434.24x = 782,279.36 × 166,448
  4. Step 4: Simplify right side
    521,434.24x = 130,208,834,913.28
  5. Step 5: Solve for x
    x = 130,208,834,913.28/521,434.24
  6. Step 6: Final answer
    x = 249,712.86

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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.