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Finding the Fourth Proportional to 416,358.92, 574,852.80 and 280,594.76

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Solution

The fourth proportional to 416,358.92, 574,852.80 and 280,594.76 is: 387,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,358.92 : 574,852.80 = 280,594.76 : x
  2. Step 2: Convert to fraction form
    416,358.92/574,852.80 = 280,594.76/x
  3. Step 3: Cross multiply
    416,358.92x = 574,852.80 × 280,594.76
  4. Step 4: Simplify right side
    416,358.92x = 161,300,683,451.33
  5. Step 5: Solve for x
    x = 161,300,683,451.33/416,358.92
  6. Step 6: Final answer
    x = 387,407.78

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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.