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Finding the Fourth Proportional to 228,478.08, 342,729.84 and 70,694.20

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Solution

The fourth proportional to 228,478.08, 342,729.84 and 70,694.20 is: 106,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,478.08 : 342,729.84 = 70,694.20 : x
  2. Step 2: Convert to fraction form
    228,478.08/342,729.84 = 70,694.20/x
  3. Step 3: Cross multiply
    228,478.08x = 342,729.84 × 70,694.20
  4. Step 4: Simplify right side
    228,478.08x = 24,229,011,854.93
  5. Step 5: Solve for x
    x = 24,229,011,854.93/228,478.08
  6. Step 6: Final answer
    x = 106,045.24

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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.