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Finding the Fourth Proportional to 209,981.40, 314,972.10 and 150,932.40

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Solution

The fourth proportional to 209,981.40, 314,972.10 and 150,932.40 is: 226,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,981.40 : 314,972.10 = 150,932.40 : x
  2. Step 2: Convert to fraction form
    209,981.40/314,972.10 = 150,932.40/x
  3. Step 3: Cross multiply
    209,981.40x = 314,972.10 × 150,932.40
  4. Step 4: Simplify right side
    209,981.40x = 47,539,494,986.04
  5. Step 5: Solve for x
    x = 47,539,494,986.04/209,981.40
  6. Step 6: Final answer
    x = 226,398.60

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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.