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Finding the Fourth Proportional to 438,698.20, 658,047.30 and 296,980.60

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Solution

The fourth proportional to 438,698.20, 658,047.30 and 296,980.60 is: 445,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,698.20 : 658,047.30 = 296,980.60 : x
  2. Step 2: Convert to fraction form
    438,698.20/658,047.30 = 296,980.60/x
  3. Step 3: Cross multiply
    438,698.20x = 658,047.30 × 296,980.60
  4. Step 4: Simplify right side
    438,698.20x = 195,427,281,982.38
  5. Step 5: Solve for x
    x = 195,427,281,982.38/438,698.20
  6. Step 6: Final answer
    x = 445,470.90

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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.