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Finding the Fourth Proportional to 431,403.92, 595,162.05 and 286,278.14

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Solution

The fourth proportional to 431,403.92, 595,162.05 and 286,278.14 is: 394,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,403.92 : 595,162.05 = 286,278.14 : x
  2. Step 2: Convert to fraction form
    431,403.92/595,162.05 = 286,278.14/x
  3. Step 3: Cross multiply
    431,403.92x = 595,162.05 × 286,278.14
  4. Step 4: Simplify right side
    431,403.92x = 170,381,884,672.59
  5. Step 5: Solve for x
    x = 170,381,884,672.59/431,403.92
  6. Step 6: Final answer
    x = 394,947.47

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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.