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Finding the Fourth Proportional to 631,767.84, 871,826.04 and 356,123.76

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Solution

The fourth proportional to 631,767.84, 871,826.04 and 356,123.76 is: 491,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,767.84 : 871,826.04 = 356,123.76 : x
  2. Step 2: Convert to fraction form
    631,767.84/871,826.04 = 356,123.76/x
  3. Step 3: Cross multiply
    631,767.84x = 871,826.04 × 356,123.76
  4. Step 4: Simplify right side
    631,767.84x = 310,477,967,430.71
  5. Step 5: Solve for x
    x = 310,477,967,430.71/631,767.84
  6. Step 6: Final answer
    x = 491,443.13

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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.