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Finding the Fourth Proportional to 520,395.78, 780,593.76 and 165,409.86

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Solution

The fourth proportional to 520,395.78, 780,593.76 and 165,409.86 is: 248,114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,395.78 : 780,593.76 = 165,409.86 : x
  2. Step 2: Convert to fraction form
    520,395.78/780,593.76 = 165,409.86/x
  3. Step 3: Cross multiply
    520,395.78x = 780,593.76 × 165,409.86
  4. Step 4: Simplify right side
    520,395.78x = 129,117,904,558.47
  5. Step 5: Solve for x
    x = 129,117,904,558.47/520,395.78
  6. Step 6: Final answer
    x = 248,114.82

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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.