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Finding the Fourth Proportional to 417,960.32, 576,961.79 and 282,178.17

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Solution

The fourth proportional to 417,960.32, 576,961.79 and 282,178.17 is: 389,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,960.32 : 576,961.79 = 282,178.17 : x
  2. Step 2: Convert to fraction form
    417,960.32/576,961.79 = 282,178.17/x
  3. Step 3: Cross multiply
    417,960.32x = 576,961.79 × 282,178.17
  4. Step 4: Simplify right side
    417,960.32x = 162,806,020,651.23
  5. Step 5: Solve for x
    x = 162,806,020,651.23/417,960.32
  6. Step 6: Final answer
    x = 389,525.07

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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.