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Finding the Fourth Proportional to 520,053.29, 780,109.10 and 146,047.13

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Solution

The fourth proportional to 520,053.29, 780,109.10 and 146,047.13 is: 219,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,053.29 : 780,109.10 = 146,047.13 : x
  2. Step 2: Convert to fraction form
    520,053.29/780,109.10 = 146,047.13/x
  3. Step 3: Cross multiply
    520,053.29x = 780,109.10 × 146,047.13
  4. Step 4: Simplify right side
    520,053.29x = 113,932,695,141.88
  5. Step 5: Solve for x
    x = 113,932,695,141.88/520,053.29
  6. Step 6: Final answer
    x = 219,078.89

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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.