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Finding the Fourth Proportional to 431,377.28, 595,130.84 and 288,230.80

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Solution

The fourth proportional to 431,377.28, 595,130.84 and 288,230.80 is: 397,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,377.28 : 595,130.84 = 288,230.80 : x
  2. Step 2: Convert to fraction form
    431,377.28/595,130.84 = 288,230.80/x
  3. Step 3: Cross multiply
    431,377.28x = 595,130.84 × 288,230.80
  4. Step 4: Simplify right side
    431,377.28x = 171,535,038,117.87
  5. Step 5: Solve for x
    x = 171,535,038,117.87/431,377.28
  6. Step 6: Final answer
    x = 397,645.05

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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.