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Finding the Fourth Proportional to 409,026.15, 564,733.17 and 256,125.69

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Solution

The fourth proportional to 409,026.15, 564,733.17 and 256,125.69 is: 353,626.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,026.15 : 564,733.17 = 256,125.69 : x
  2. Step 2: Convert to fraction form
    409,026.15/564,733.17 = 256,125.69/x
  3. Step 3: Cross multiply
    409,026.15x = 564,733.17 × 256,125.69
  4. Step 4: Simplify right side
    409,026.15x = 144,642,672,832.14
  5. Step 5: Solve for x
    x = 144,642,672,832.14/409,026.15
  6. Step 6: Final answer
    x = 353,626.96

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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.