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Finding the Fourth Proportional to 209,312.47, 288,863.81 and 123,328.76

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Solution

The fourth proportional to 209,312.47, 288,863.81 and 123,328.76 is: 170,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,312.47 : 288,863.81 = 123,328.76 : x
  2. Step 2: Convert to fraction form
    209,312.47/288,863.81 = 123,328.76/x
  3. Step 3: Cross multiply
    209,312.47x = 288,863.81 × 123,328.76
  4. Step 4: Simplify right side
    209,312.47x = 35,625,213,897.70
  5. Step 5: Solve for x
    x = 35,625,213,897.70/209,312.47
  6. Step 6: Final answer
    x = 170,201.11

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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.