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Finding the Fourth Proportional to 259,456.62, 389,152.70 and 69,931.78

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Solution

The fourth proportional to 259,456.62, 389,152.70 and 69,931.78 is: 104,888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,456.62 : 389,152.70 = 69,931.78 : x
  2. Step 2: Convert to fraction form
    259,456.62/389,152.70 = 69,931.78/x
  3. Step 3: Cross multiply
    259,456.62x = 389,152.70 × 69,931.78
  4. Step 4: Simplify right side
    259,456.62x = 27,214,141,002.81
  5. Step 5: Solve for x
    x = 27,214,141,002.81/259,456.62
  6. Step 6: Final answer
    x = 104,888.98

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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.