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Finding the Fourth Proportional to 260,472.71, 359,434.97 and 145,731.45

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Solution

The fourth proportional to 260,472.71, 359,434.97 and 145,731.45 is: 201,099.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,472.71 : 359,434.97 = 145,731.45 : x
  2. Step 2: Convert to fraction form
    260,472.71/359,434.97 = 145,731.45/x
  3. Step 3: Cross multiply
    260,472.71x = 359,434.97 × 145,731.45
  4. Step 4: Simplify right side
    260,472.71x = 52,380,980,524.52
  5. Step 5: Solve for x
    x = 52,380,980,524.52/260,472.71
  6. Step 6: Final answer
    x = 201,099.69

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1.5x scale

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.