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Finding the Fourth Proportional to 402,715.92, 554,928.48 and 311,517.84

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Solution

The fourth proportional to 402,715.92, 554,928.48 and 311,517.84 is: 429,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,715.92 : 554,928.48 = 311,517.84 : x
  2. Step 2: Convert to fraction form
    402,715.92/554,928.48 = 311,517.84/x
  3. Step 3: Cross multiply
    402,715.92x = 554,928.48 × 311,517.84
  4. Step 4: Simplify right side
    402,715.92x = 172,870,121,444.08
  5. Step 5: Solve for x
    x = 172,870,121,444.08/402,715.92
  6. Step 6: Final answer
    x = 429,260.71

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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.