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Finding the Fourth Proportional to 385,842.78, 578,848.74 and 129,666.12

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Solution

The fourth proportional to 385,842.78, 578,848.74 and 129,666.12 is: 194,527.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,842.78 : 578,848.74 = 129,666.12 : x
  2. Step 2: Convert to fraction form
    385,842.78/578,848.74 = 129,666.12/x
  3. Step 3: Cross multiply
    385,842.78x = 578,848.74 × 129,666.12
  4. Step 4: Simplify right side
    385,842.78x = 75,057,070,182.69
  5. Step 5: Solve for x
    x = 75,057,070,182.69/385,842.78
  6. Step 6: Final answer
    x = 194,527.60

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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.