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Finding the Fourth Proportional to 419,407.92, 578,789.54 and 228,421.17

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Solution

The fourth proportional to 419,407.92, 578,789.54 and 228,421.17 is: 315,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,407.92 : 578,789.54 = 228,421.17 : x
  2. Step 2: Convert to fraction form
    419,407.92/578,789.54 = 228,421.17/x
  3. Step 3: Cross multiply
    419,407.92x = 578,789.54 × 228,421.17
  4. Step 4: Simplify right side
    419,407.92x = 132,207,782,768.46
  5. Step 5: Solve for x
    x = 132,207,782,768.46/419,407.92
  6. Step 6: Final answer
    x = 315,224.81

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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.