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Finding the Fourth Proportional to 310,624.26, 465,946.71 and 85,965.90

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Solution

The fourth proportional to 310,624.26, 465,946.71 and 85,965.90 is: 128,951.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,624.26 : 465,946.71 = 85,965.90 : x
  2. Step 2: Convert to fraction form
    310,624.26/465,946.71 = 85,965.90/x
  3. Step 3: Cross multiply
    310,624.26x = 465,946.71 × 85,965.90
  4. Step 4: Simplify right side
    310,624.26x = 40,055,528,277.19
  5. Step 5: Solve for x
    x = 40,055,528,277.19/310,624.26
  6. Step 6: Final answer
    x = 128,951.71

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1.5x scale

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.