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Finding the Fourth Proportional to 305,321.80, 457,853.10 and 147,598.60

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Solution

The fourth proportional to 305,321.80, 457,853.10 and 147,598.60 is: 221,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,321.80 : 457,853.10 = 147,598.60 : x
  2. Step 2: Convert to fraction form
    305,321.80/457,853.10 = 147,598.60/x
  3. Step 3: Cross multiply
    305,321.80x = 457,853.10 × 147,598.60
  4. Step 4: Simplify right side
    305,321.80x = 67,578,476,565.66
  5. Step 5: Solve for x
    x = 67,578,476,565.66/305,321.80
  6. Step 6: Final answer
    x = 221,335.25

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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.