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Finding the Fourth Proportional to 507,414.05, 761,192.15 and 207,937.20

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Solution

The fourth proportional to 507,414.05, 761,192.15 and 207,937.20 is: 311,934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,414.05 : 761,192.15 = 207,937.20 : x
  2. Step 2: Convert to fraction form
    507,414.05/761,192.15 = 207,937.20/x
  3. Step 3: Cross multiply
    507,414.05x = 761,192.15 × 207,937.20
  4. Step 4: Simplify right side
    507,414.05x = 158,280,163,293.29
  5. Step 5: Solve for x
    x = 158,280,163,293.29/507,414.05
  6. Step 6: Final answer
    x = 311,934.93

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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.