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Finding the Fourth Proportional to 648,711.60, 973,160.40 and 199,470.20

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Solution

The fourth proportional to 648,711.60, 973,160.40 and 199,470.20 is: 299,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,711.60 : 973,160.40 = 199,470.20 : x
  2. Step 2: Convert to fraction form
    648,711.60/973,160.40 = 199,470.20/x
  3. Step 3: Cross multiply
    648,711.60x = 973,160.40 × 199,470.20
  4. Step 4: Simplify right side
    648,711.60x = 194,116,499,620.08
  5. Step 5: Solve for x
    x = 194,116,499,620.08/648,711.60
  6. Step 6: Final answer
    x = 299,233.90

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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.