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Finding the Fourth Proportional to 283,330.98, 390,963.51 and 160,815.24

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Solution

The fourth proportional to 283,330.98, 390,963.51 and 160,815.24 is: 221,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,330.98 : 390,963.51 = 160,815.24 : x
  2. Step 2: Convert to fraction form
    283,330.98/390,963.51 = 160,815.24/x
  3. Step 3: Cross multiply
    283,330.98x = 390,963.51 × 160,815.24
  4. Step 4: Simplify right side
    283,330.98x = 62,872,890,691.89
  5. Step 5: Solve for x
    x = 62,872,890,691.89/283,330.98
  6. Step 6: Final answer
    x = 221,906.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.