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Finding the Fourth Proportional to 354,074.16, 531,206.02 and 154,410.78

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Solution

The fourth proportional to 354,074.16, 531,206.02 and 154,410.78 is: 231,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,074.16 : 531,206.02 = 154,410.78 : x
  2. Step 2: Convert to fraction form
    354,074.16/531,206.02 = 154,410.78/x
  3. Step 3: Cross multiply
    354,074.16x = 531,206.02 × 154,410.78
  4. Step 4: Simplify right side
    354,074.16x = 82,023,935,888.90
  5. Step 5: Solve for x
    x = 82,023,935,888.90/354,074.16
  6. Step 6: Final answer
    x = 231,657.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.