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Finding the Fourth Proportional to 208,332.28, 287,478 and 116,434.60

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Solution

The fourth proportional to 208,332.28, 287,478 and 116,434.60 is: 160,668.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,332.28 : 287,478 = 116,434.60 : x
  2. Step 2: Convert to fraction form
    208,332.28/287,478 = 116,434.60/x
  3. Step 3: Cross multiply
    208,332.28x = 287,478 × 116,434.60
  4. Step 4: Simplify right side
    208,332.28x = 33,472,385,938.80
  5. Step 5: Solve for x
    x = 33,472,385,938.80/208,332.28
  6. Step 6: Final answer
    x = 160,668.26

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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.