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Finding the Fourth Proportional to 394,977.60, 592,005.60 and 158,203.20

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Solution

The fourth proportional to 394,977.60, 592,005.60 and 158,203.20 is: 237,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,977.60 : 592,005.60 = 158,203.20 : x
  2. Step 2: Convert to fraction form
    394,977.60/592,005.60 = 158,203.20/x
  3. Step 3: Cross multiply
    394,977.60x = 592,005.60 × 158,203.20
  4. Step 4: Simplify right side
    394,977.60x = 93,657,180,337.92
  5. Step 5: Solve for x
    x = 93,657,180,337.92/394,977.60
  6. Step 6: Final answer
    x = 237,120.23

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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.