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Finding the Fourth Proportional to 378,074.30, 567,111.45 and 111,814.10

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Solution

The fourth proportional to 378,074.30, 567,111.45 and 111,814.10 is: 167,721.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,074.30 : 567,111.45 = 111,814.10 : x
  2. Step 2: Convert to fraction form
    378,074.30/567,111.45 = 111,814.10/x
  3. Step 3: Cross multiply
    378,074.30x = 567,111.45 × 111,814.10
  4. Step 4: Simplify right side
    378,074.30x = 63,411,053,545.89
  5. Step 5: Solve for x
    x = 63,411,053,545.89/378,074.30
  6. Step 6: Final answer
    x = 167,721.14

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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.