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Finding the Fourth Proportional to 385,471.47, 578,182.58 and 119,209.69

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Solution

The fourth proportional to 385,471.47, 578,182.58 and 119,209.69 is: 178,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,471.47 : 578,182.58 = 119,209.69 : x
  2. Step 2: Convert to fraction form
    385,471.47/578,182.58 = 119,209.69/x
  3. Step 3: Cross multiply
    385,471.47x = 578,182.58 × 119,209.69
  4. Step 4: Simplify right side
    385,471.47x = 68,924,962,638.24
  5. Step 5: Solve for x
    x = 68,924,962,638.24/385,471.47
  6. Step 6: Final answer
    x = 178,806.91

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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.