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Finding the Fourth Proportional to 417,463.86, 576,509.38 and 288,732.18

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Solution

The fourth proportional to 417,463.86, 576,509.38 and 288,732.18 is: 398,733.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,463.86 : 576,509.38 = 288,732.18 : x
  2. Step 2: Convert to fraction form
    417,463.86/576,509.38 = 288,732.18/x
  3. Step 3: Cross multiply
    417,463.86x = 576,509.38 × 288,732.18
  4. Step 4: Simplify right side
    417,463.86x = 166,456,810,077.85
  5. Step 5: Solve for x
    x = 166,456,810,077.85/417,463.86
  6. Step 6: Final answer
    x = 398,733.46

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Double scale
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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.