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Finding the Fourth Proportional to 388,138.68, 582,048.31 and 148,341.15

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Solution

The fourth proportional to 388,138.68, 582,048.31 and 148,341.15 is: 222,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,138.68 : 582,048.31 = 148,341.15 : x
  2. Step 2: Convert to fraction form
    388,138.68/582,048.31 = 148,341.15/x
  3. Step 3: Cross multiply
    388,138.68x = 582,048.31 × 148,341.15
  4. Step 4: Simplify right side
    388,138.68x = 86,341,712,379.86
  5. Step 5: Solve for x
    x = 86,341,712,379.86/388,138.68
  6. Step 6: Final answer
    x = 222,450.68

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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.