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Finding the Fourth Proportional to 407,113.28, 561,801.12 and 228,253.76

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Solution

The fourth proportional to 407,113.28, 561,801.12 and 228,253.76 is: 314,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,113.28 : 561,801.12 = 228,253.76 : x
  2. Step 2: Convert to fraction form
    407,113.28/561,801.12 = 228,253.76/x
  3. Step 3: Cross multiply
    407,113.28x = 561,801.12 × 228,253.76
  4. Step 4: Simplify right side
    407,113.28x = 128,233,218,012.21
  5. Step 5: Solve for x
    x = 128,233,218,012.21/407,113.28
  6. Step 6: Final answer
    x = 314,981.66

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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.