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Finding the Fourth Proportional to 478,142.64, 659,836.83 and 263,282.16

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Solution

The fourth proportional to 478,142.64, 659,836.83 and 263,282.16 is: 363,329.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,142.64 : 659,836.83 = 263,282.16 : x
  2. Step 2: Convert to fraction form
    478,142.64/659,836.83 = 263,282.16/x
  3. Step 3: Cross multiply
    478,142.64x = 659,836.83 × 263,282.16
  4. Step 4: Simplify right side
    478,142.64x = 173,723,265,849.95
  5. Step 5: Solve for x
    x = 173,723,265,849.95/478,142.64
  6. Step 6: Final answer
    x = 363,329.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.