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Finding the Fourth Proportional to 398,050.80, 596,298.60 and 239,809.20

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Solution

The fourth proportional to 398,050.80, 596,298.60 and 239,809.20 is: 359,245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,050.80 : 596,298.60 = 239,809.20 : x
  2. Step 2: Convert to fraction form
    398,050.80/596,298.60 = 239,809.20/x
  3. Step 3: Cross multiply
    398,050.80x = 596,298.60 × 239,809.20
  4. Step 4: Simplify right side
    398,050.80x = 142,997,890,227.12
  5. Step 5: Solve for x
    x = 142,997,890,227.12/398,050.80
  6. Step 6: Final answer
    x = 359,245.33

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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.