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Finding the Fourth Proportional to 390,122.34, 585,329.28 and 153,629.88

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Solution

The fourth proportional to 390,122.34, 585,329.28 and 153,629.88 is: 230,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,122.34 : 585,329.28 = 153,629.88 : x
  2. Step 2: Convert to fraction form
    390,122.34/585,329.28 = 153,629.88/x
  3. Step 3: Cross multiply
    390,122.34x = 585,329.28 × 153,629.88
  4. Step 4: Simplify right side
    390,122.34x = 89,924,067,046.89
  5. Step 5: Solve for x
    x = 89,924,067,046.89/390,122.34
  6. Step 6: Final answer
    x = 230,502.22

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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.