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Finding the Fourth Proportional to 384,702.41, 577,086.42 and 100,430.69

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Solution

The fourth proportional to 384,702.41, 577,086.42 and 100,430.69 is: 150,654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,702.41 : 577,086.42 = 100,430.69 : x
  2. Step 2: Convert to fraction form
    384,702.41/577,086.42 = 100,430.69/x
  3. Step 3: Cross multiply
    384,702.41x = 577,086.42 × 100,430.69
  4. Step 4: Simplify right side
    384,702.41x = 57,957,184,841.41
  5. Step 5: Solve for x
    x = 57,957,184,841.41/384,702.41
  6. Step 6: Final answer
    x = 150,654.59

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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.