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Finding the Fourth Proportional to 413,013.60, 618,645.60 and 286,517.52

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Solution

The fourth proportional to 413,013.60, 618,645.60 and 286,517.52 is: 429,169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,013.60 : 618,645.60 = 286,517.52 : x
  2. Step 2: Convert to fraction form
    413,013.60/618,645.60 = 286,517.52/x
  3. Step 3: Cross multiply
    413,013.60x = 618,645.60 × 286,517.52
  4. Step 4: Simplify right side
    413,013.60x = 177,252,803,070.91
  5. Step 5: Solve for x
    x = 177,252,803,070.91/413,013.60
  6. Step 6: Final answer
    x = 429,169.41

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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.