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Finding the Fourth Proportional to 507,414.30, 761,192.52 and 207,937.45

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Solution

The fourth proportional to 507,414.30, 761,192.52 and 207,937.45 is: 311,935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,414.30 : 761,192.52 = 207,937.45 : x
  2. Step 2: Convert to fraction form
    507,414.30/761,192.52 = 207,937.45/x
  3. Step 3: Cross multiply
    507,414.30x = 761,192.52 × 207,937.45
  4. Step 4: Simplify right side
    507,414.30x = 158,280,431,567.87
  5. Step 5: Solve for x
    x = 158,280,431,567.87/507,414.30
  6. Step 6: Final answer
    x = 311,935.30

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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.