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Finding the Fourth Proportional to 384,769.91, 577,154.87 and 104,287.16

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Solution

The fourth proportional to 384,769.91, 577,154.87 and 104,287.16 is: 156,430.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,769.91 : 577,154.87 = 104,287.16 : x
  2. Step 2: Convert to fraction form
    384,769.91/577,154.87 = 104,287.16/x
  3. Step 3: Cross multiply
    384,769.91x = 577,154.87 × 104,287.16
  4. Step 4: Simplify right side
    384,769.91x = 60,189,842,272.47
  5. Step 5: Solve for x
    x = 60,189,842,272.47/384,769.91
  6. Step 6: Final answer
    x = 156,430.74

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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.