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Finding the Fourth Proportional to 209,697.40, 313,931.70 and 185,121.40

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Solution

The fourth proportional to 209,697.40, 313,931.70 and 185,121.40 is: 277,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,697.40 : 313,931.70 = 185,121.40 : x
  2. Step 2: Convert to fraction form
    209,697.40/313,931.70 = 185,121.40/x
  3. Step 3: Cross multiply
    209,697.40x = 313,931.70 × 185,121.40
  4. Step 4: Simplify right side
    209,697.40x = 58,115,475,808.38
  5. Step 5: Solve for x
    x = 58,115,475,808.38/209,697.40
  6. Step 6: Final answer
    x = 277,139.71

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1.5x scale

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.