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Finding the Fourth Proportional to 472,280.80, 707,960.40 and 422,514.40

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Solution

The fourth proportional to 472,280.80, 707,960.40 and 422,514.40 is: 633,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,280.80 : 707,960.40 = 422,514.40 : x
  2. Step 2: Convert to fraction form
    472,280.80/707,960.40 = 422,514.40/x
  3. Step 3: Cross multiply
    472,280.80x = 707,960.40 × 422,514.40
  4. Step 4: Simplify right side
    472,280.80x = 299,123,463,629.76
  5. Step 5: Solve for x
    x = 299,123,463,629.76/472,280.80
  6. Step 6: Final answer
    x = 633,359.36

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1.5x scale

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.