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Finding the Fourth Proportional to 253,762.90, 380,369.67 and 165,079.78

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Solution

The fourth proportional to 253,762.90, 380,369.67 and 165,079.78 is: 247,440.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,762.90 : 380,369.67 = 165,079.78 : x
  2. Step 2: Convert to fraction form
    253,762.90/380,369.67 = 165,079.78/x
  3. Step 3: Cross multiply
    253,762.90x = 380,369.67 × 165,079.78
  4. Step 4: Simplify right side
    253,762.90x = 62,791,341,442.27
  5. Step 5: Solve for x
    x = 62,791,341,442.27/253,762.90
  6. Step 6: Final answer
    x = 247,440.98

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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.