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Finding the Fourth Proportional to 472,308.80, 708,002.40 and 422,542.40

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Solution

The fourth proportional to 472,308.80, 708,002.40 and 422,542.40 is: 633,401.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,308.80 : 708,002.40 = 422,542.40 : x
  2. Step 2: Convert to fraction form
    472,308.80/708,002.40 = 422,542.40/x
  3. Step 3: Cross multiply
    472,308.80x = 708,002.40 × 422,542.40
  4. Step 4: Simplify right side
    472,308.80x = 299,161,033,301.76
  5. Step 5: Solve for x
    x = 299,161,033,301.76/472,308.80
  6. Step 6: Final answer
    x = 633,401.35

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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.