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Finding the Fourth Proportional to 409,146.78, 564,582.12 and 227,875.56

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Solution

The fourth proportional to 409,146.78, 564,582.12 and 227,875.56 is: 314,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,146.78 : 564,582.12 = 227,875.56 : x
  2. Step 2: Convert to fraction form
    409,146.78/564,582.12 = 227,875.56/x
  3. Step 3: Cross multiply
    409,146.78x = 564,582.12 × 227,875.56
  4. Step 4: Simplify right side
    409,146.78x = 128,654,466,760.99
  5. Step 5: Solve for x
    x = 128,654,466,760.99/409,146.78
  6. Step 6: Final answer
    x = 314,445.75

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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.