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Finding the Fourth Proportional to 209,379.60, 288,948.60 and 113,891.40

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Solution

The fourth proportional to 209,379.60, 288,948.60 and 113,891.40 is: 157,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,379.60 : 288,948.60 = 113,891.40 : x
  2. Step 2: Convert to fraction form
    209,379.60/288,948.60 = 113,891.40/x
  3. Step 3: Cross multiply
    209,379.60x = 288,948.60 × 113,891.40
  4. Step 4: Simplify right side
    209,379.60x = 32,908,760,582.04
  5. Step 5: Solve for x
    x = 32,908,760,582.04/209,379.60
  6. Step 6: Final answer
    x = 157,172.72

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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.