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Finding the Fourth Proportional to 652,247.20, 978,370.80 and 428,298.40

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Solution

The fourth proportional to 652,247.20, 978,370.80 and 428,298.40 is: 642,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,247.20 : 978,370.80 = 428,298.40 : x
  2. Step 2: Convert to fraction form
    652,247.20/978,370.80 = 428,298.40/x
  3. Step 3: Cross multiply
    652,247.20x = 978,370.80 × 428,298.40
  4. Step 4: Simplify right side
    652,247.20x = 419,034,648,246.72
  5. Step 5: Solve for x
    x = 419,034,648,246.72/652,247.20
  6. Step 6: Final answer
    x = 642,447.60

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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.