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Finding the Fourth Proportional to 384,128.94, 575,726.85 and 271,842.18

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Solution

The fourth proportional to 384,128.94, 575,726.85 and 271,842.18 is: 407,433.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,128.94 : 575,726.85 = 271,842.18 : x
  2. Step 2: Convert to fraction form
    384,128.94/575,726.85 = 271,842.18/x
  3. Step 3: Cross multiply
    384,128.94x = 575,726.85 × 271,842.18
  4. Step 4: Simplify right side
    384,128.94x = 156,506,841,988.53
  5. Step 5: Solve for x
    x = 156,506,841,988.53/384,128.94
  6. Step 6: Final answer
    x = 407,433.09

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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.