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Finding the Fourth Proportional to 457,045.60, 685,762.80 and 220,266.40

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Solution

The fourth proportional to 457,045.60, 685,762.80 and 220,266.40 is: 330,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,045.60 : 685,762.80 = 220,266.40 : x
  2. Step 2: Convert to fraction form
    457,045.60/685,762.80 = 220,266.40/x
  3. Step 3: Cross multiply
    457,045.60x = 685,762.80 × 220,266.40
  4. Step 4: Simplify right side
    457,045.60x = 151,050,503,209.92
  5. Step 5: Solve for x
    x = 151,050,503,209.92/457,045.60
  6. Step 6: Final answer
    x = 330,493.29

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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.