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Finding the Fourth Proportional to 656,102.40, 984,614.40 and 420,019.20

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Solution

The fourth proportional to 656,102.40, 984,614.40 and 420,019.20 is: 630,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,102.40 : 984,614.40 = 420,019.20 : x
  2. Step 2: Convert to fraction form
    656,102.40/984,614.40 = 420,019.20/x
  3. Step 3: Cross multiply
    656,102.40x = 984,614.40 × 420,019.20
  4. Step 4: Simplify right side
    656,102.40x = 413,556,952,596.48
  5. Step 5: Solve for x
    x = 413,556,952,596.48/656,102.40
  6. Step 6: Final answer
    x = 630,323.79

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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.