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Finding the Fourth Proportional to 209,312.28, 288,815.90 and 123,288.40

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Solution

The fourth proportional to 209,312.28, 288,815.90 and 123,288.40 is: 170,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,312.28 : 288,815.90 = 123,288.40 : x
  2. Step 2: Convert to fraction form
    209,312.28/288,815.90 = 123,288.40/x
  3. Step 3: Cross multiply
    209,312.28x = 288,815.90 × 123,288.40
  4. Step 4: Simplify right side
    209,312.28x = 35,607,650,205.56
  5. Step 5: Solve for x
    x = 35,607,650,205.56/209,312.28
  6. Step 6: Final answer
    x = 170,117.35

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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.