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Finding the Fourth Proportional to 507,842.10, 761,862.72 and 187,996.43

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Solution

The fourth proportional to 507,842.10, 761,862.72 and 187,996.43 is: 282,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,842.10 : 761,862.72 = 187,996.43 : x
  2. Step 2: Convert to fraction form
    507,842.10/761,862.72 = 187,996.43/x
  3. Step 3: Cross multiply
    507,842.10x = 761,862.72 × 187,996.43
  4. Step 4: Simplify right side
    507,842.10x = 143,227,467,700.78
  5. Step 5: Solve for x
    x = 143,227,467,700.78/507,842.10
  6. Step 6: Final answer
    x = 282,031.50

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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.