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Finding the Fourth Proportional to 613,646.88, 920,064.24 and 293,845.92

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Solution

The fourth proportional to 613,646.88, 920,064.24 and 293,845.92 is: 440,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,646.88 : 920,064.24 = 293,845.92 : x
  2. Step 2: Convert to fraction form
    613,646.88/920,064.24 = 293,845.92/x
  3. Step 3: Cross multiply
    613,646.88x = 920,064.24 × 293,845.92
  4. Step 4: Simplify right side
    613,646.88x = 270,357,123,061.90
  5. Step 5: Solve for x
    x = 270,357,123,061.90/613,646.88
  6. Step 6: Final answer
    x = 440,574.43

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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.