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Finding the Fourth Proportional to 378,051.60, 567,077.40 and 365,221.20

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Solution

The fourth proportional to 378,051.60, 567,077.40 and 365,221.20 is: 547,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,051.60 : 567,077.40 = 365,221.20 : x
  2. Step 2: Convert to fraction form
    378,051.60/567,077.40 = 365,221.20/x
  3. Step 3: Cross multiply
    378,051.60x = 567,077.40 × 365,221.20
  4. Step 4: Simplify right side
    378,051.60x = 207,108,688,520.88
  5. Step 5: Solve for x
    x = 207,108,688,520.88/378,051.60
  6. Step 6: Final answer
    x = 547,831.80

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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.