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Finding the Fourth Proportional to 385,087.86, 577,385.76 and 185,010.18

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Solution

The fourth proportional to 385,087.86, 577,385.76 and 185,010.18 is: 277,397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,087.86 : 577,385.76 = 185,010.18 : x
  2. Step 2: Convert to fraction form
    385,087.86/577,385.76 = 185,010.18/x
  3. Step 3: Cross multiply
    385,087.86x = 577,385.76 × 185,010.18
  4. Step 4: Simplify right side
    385,087.86x = 106,822,243,387.04
  5. Step 5: Solve for x
    x = 106,822,243,387.04/385,087.86
  6. Step 6: Final answer
    x = 277,397.07

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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.