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Finding the Fourth Proportional to 380,294.12, 570,397.98 and 99,833.24

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Solution

The fourth proportional to 380,294.12, 570,397.98 and 99,833.24 is: 149,738.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,294.12 : 570,397.98 = 99,833.24 : x
  2. Step 2: Convert to fraction form
    380,294.12/570,397.98 = 99,833.24/x
  3. Step 3: Cross multiply
    380,294.12x = 570,397.98 × 99,833.24
  4. Step 4: Simplify right side
    380,294.12x = 56,944,678,432.86
  5. Step 5: Solve for x
    x = 56,944,678,432.86/380,294.12
  6. Step 6: Final answer
    x = 149,738.52

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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.