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Finding the Fourth Proportional to 285,959.54, 429,070.54 and 145,816.58

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Solution

The fourth proportional to 285,959.54, 429,070.54 and 145,816.58 is: 218,791.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,959.54 : 429,070.54 = 145,816.58 : x
  2. Step 2: Convert to fraction form
    285,959.54/429,070.54 = 145,816.58/x
  3. Step 3: Cross multiply
    285,959.54x = 429,070.54 × 145,816.58
  4. Step 4: Simplify right side
    285,959.54x = 62,565,598,721.55
  5. Step 5: Solve for x
    x = 62,565,598,721.55/285,959.54
  6. Step 6: Final answer
    x = 218,791.79

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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.