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Finding the Fourth Proportional to 385,165.78, 577,632.02 and 104,646.58

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Solution

The fourth proportional to 385,165.78, 577,632.02 and 104,646.58 is: 156,938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,165.78 : 577,632.02 = 104,646.58 : x
  2. Step 2: Convert to fraction form
    385,165.78/577,632.02 = 104,646.58/x
  3. Step 3: Cross multiply
    385,165.78x = 577,632.02 × 104,646.58
  4. Step 4: Simplify right side
    385,165.78x = 60,447,215,391.49
  5. Step 5: Solve for x
    x = 60,447,215,391.49/385,165.78
  6. Step 6: Final answer
    x = 156,938.18

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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.