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Finding the Fourth Proportional to 458,432.21, 632,702.24 and 274,678.04

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Solution

The fourth proportional to 458,432.21, 632,702.24 and 274,678.04 is: 379,095.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,432.21 : 632,702.24 = 274,678.04 : x
  2. Step 2: Convert to fraction form
    458,432.21/632,702.24 = 274,678.04/x
  3. Step 3: Cross multiply
    458,432.21x = 632,702.24 × 274,678.04
  4. Step 4: Simplify right side
    458,432.21x = 173,789,406,649.91
  5. Step 5: Solve for x
    x = 173,789,406,649.91/458,432.21
  6. Step 6: Final answer
    x = 379,095.11

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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.