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Finding the Fourth Proportional to 416,370.92, 574,869.36 and 280,606.76

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Solution

The fourth proportional to 416,370.92, 574,869.36 and 280,606.76 is: 387,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,370.92 : 574,869.36 = 280,606.76 : x
  2. Step 2: Convert to fraction form
    416,370.92/574,869.36 = 280,606.76/x
  3. Step 3: Cross multiply
    416,370.92x = 574,869.36 × 280,606.76
  4. Step 4: Simplify right side
    416,370.92x = 161,312,228,532.87
  5. Step 5: Solve for x
    x = 161,312,228,532.87/416,370.92
  6. Step 6: Final answer
    x = 387,424.34

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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.