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Finding the Fourth Proportional to 282,442.30, 389,773.44 and 155,117.88

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Solution

The fourth proportional to 282,442.30, 389,773.44 and 155,117.88 is: 214,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,442.30 : 389,773.44 = 155,117.88 : x
  2. Step 2: Convert to fraction form
    282,442.30/389,773.44 = 155,117.88/x
  3. Step 3: Cross multiply
    282,442.30x = 389,773.44 × 155,117.88
  4. Step 4: Simplify right side
    282,442.30x = 60,460,829,693.11
  5. Step 5: Solve for x
    x = 60,460,829,693.11/282,442.30
  6. Step 6: Final answer
    x = 214,064.36

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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.