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Finding the Fourth Proportional to 457,030.60, 685,740.30 and 220,251.40

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Solution

The fourth proportional to 457,030.60, 685,740.30 and 220,251.40 is: 330,470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,030.60 : 685,740.30 = 220,251.40 : x
  2. Step 2: Convert to fraction form
    457,030.60/685,740.30 = 220,251.40/x
  3. Step 3: Cross multiply
    457,030.60x = 685,740.30 × 220,251.40
  4. Step 4: Simplify right side
    457,030.60x = 151,035,261,111.42
  5. Step 5: Solve for x
    x = 151,035,261,111.42/457,030.60
  6. Step 6: Final answer
    x = 330,470.78

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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.