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Finding the Fourth Proportional to 385,423.38, 578,300.45 and 148,932.14

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Solution

The fourth proportional to 385,423.38, 578,300.45 and 148,932.14 is: 223,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,423.38 : 578,300.45 = 148,932.14 : x
  2. Step 2: Convert to fraction form
    385,423.38/578,300.45 = 148,932.14/x
  3. Step 3: Cross multiply
    385,423.38x = 578,300.45 × 148,932.14
  4. Step 4: Simplify right side
    385,423.38x = 86,127,519,945.30
  5. Step 5: Solve for x
    x = 86,127,519,945.30/385,423.38
  6. Step 6: Final answer
    x = 223,462.11

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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.