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Finding the Fourth Proportional to 209,515.80, 314,273.70 and 150,904.20

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Solution

The fourth proportional to 209,515.80, 314,273.70 and 150,904.20 is: 226,356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,515.80 : 314,273.70 = 150,904.20 : x
  2. Step 2: Convert to fraction form
    209,515.80/314,273.70 = 150,904.20/x
  3. Step 3: Cross multiply
    209,515.80x = 314,273.70 × 150,904.20
  4. Step 4: Simplify right side
    209,515.80x = 47,425,221,279.54
  5. Step 5: Solve for x
    x = 47,425,221,279.54/209,515.80
  6. Step 6: Final answer
    x = 226,356.30

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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.