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Finding the Fourth Proportional to 493,971.52, 740,989.92 and 194,428.48

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Solution

The fourth proportional to 493,971.52, 740,989.92 and 194,428.48 is: 291,655.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,971.52 : 740,989.92 = 194,428.48 : x
  2. Step 2: Convert to fraction form
    493,971.52/740,989.92 = 194,428.48/x
  3. Step 3: Cross multiply
    493,971.52x = 740,989.92 × 194,428.48
  4. Step 4: Simplify right side
    493,971.52x = 144,069,543,840.92
  5. Step 5: Solve for x
    x = 144,069,543,840.92/493,971.52
  6. Step 6: Final answer
    x = 291,655.57

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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.