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Finding the Fourth Proportional to 282,442.41, 423,404.01 and 122,418

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Solution

The fourth proportional to 282,442.41, 423,404.01 and 122,418 is: 183,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,442.41 : 423,404.01 = 122,418 : x
  2. Step 2: Convert to fraction form
    282,442.41/423,404.01 = 122,418/x
  3. Step 3: Cross multiply
    282,442.41x = 423,404.01 × 122,418
  4. Step 4: Simplify right side
    282,442.41x = 51,832,272,096.18
  5. Step 5: Solve for x
    x = 51,832,272,096.18/282,442.41
  6. Step 6: Final answer
    x = 183,514.48

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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.