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Finding the Fourth Proportional to 457,002.60, 685,698.30 and 220,223.40

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Solution

The fourth proportional to 457,002.60, 685,698.30 and 220,223.40 is: 330,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,002.60 : 685,698.30 = 220,223.40 : x
  2. Step 2: Convert to fraction form
    457,002.60/685,698.30 = 220,223.40/x
  3. Step 3: Cross multiply
    457,002.60x = 685,698.30 × 220,223.40
  4. Step 4: Simplify right side
    457,002.60x = 151,006,811,000.22
  5. Step 5: Solve for x
    x = 151,006,811,000.22/457,002.60
  6. Step 6: Final answer
    x = 330,428.78

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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.