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Finding the Fourth Proportional to 268,019.71, 402,029.16 and 208,899.70

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Solution

The fourth proportional to 268,019.71, 402,029.16 and 208,899.70 is: 313,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,019.71 : 402,029.16 = 208,899.70 : x
  2. Step 2: Convert to fraction form
    268,019.71/402,029.16 = 208,899.70/x
  3. Step 3: Cross multiply
    268,019.71x = 402,029.16 × 208,899.70
  4. Step 4: Simplify right side
    268,019.71x = 83,983,770,915.25
  5. Step 5: Solve for x
    x = 83,983,770,915.25/268,019.71
  6. Step 6: Final answer
    x = 313,349.23

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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.