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Finding the Fourth Proportional to 385,129.40, 577,694.10 and 118,866.20

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Solution

The fourth proportional to 385,129.40, 577,694.10 and 118,866.20 is: 178,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,129.40 : 577,694.10 = 118,866.20 : x
  2. Step 2: Convert to fraction form
    385,129.40/577,694.10 = 118,866.20/x
  3. Step 3: Cross multiply
    385,129.40x = 577,694.10 × 118,866.20
  4. Step 4: Simplify right side
    385,129.40x = 68,668,302,429.42
  5. Step 5: Solve for x
    x = 68,668,302,429.42/385,129.40
  6. Step 6: Final answer
    x = 178,299.30

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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.