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Finding the Fourth Proportional to 282,752.72, 390,201.56 and 153,691.78

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Solution

The fourth proportional to 282,752.72, 390,201.56 and 153,691.78 is: 212,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,752.72 : 390,201.56 = 153,691.78 : x
  2. Step 2: Convert to fraction form
    282,752.72/390,201.56 = 153,691.78/x
  3. Step 3: Cross multiply
    282,752.72x = 390,201.56 × 153,691.78
  4. Step 4: Simplify right side
    282,752.72x = 59,970,772,315.18
  5. Step 5: Solve for x
    x = 59,970,772,315.18/282,752.72
  6. Step 6: Final answer
    x = 212,096.18

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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.