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Finding the Fourth Proportional to 507,861.74, 761,255.50 and 187,807.95

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Solution

The fourth proportional to 507,861.74, 761,255.50 and 187,807.95 is: 281,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,861.74 : 761,255.50 = 187,807.95 : x
  2. Step 2: Convert to fraction form
    507,861.74/761,255.50 = 187,807.95/x
  3. Step 3: Cross multiply
    507,861.74x = 761,255.50 × 187,807.95
  4. Step 4: Simplify right side
    507,861.74x = 142,969,834,881.23
  5. Step 5: Solve for x
    x = 142,969,834,881.23/507,861.74
  6. Step 6: Final answer
    x = 281,513.30

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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.