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Finding the Fourth Proportional to 209,981.60, 314,972.40 and 162,742.40

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Solution

The fourth proportional to 209,981.60, 314,972.40 and 162,742.40 is: 244,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,981.60 : 314,972.40 = 162,742.40 : x
  2. Step 2: Convert to fraction form
    209,981.60/314,972.40 = 162,742.40/x
  3. Step 3: Cross multiply
    209,981.60x = 314,972.40 × 162,742.40
  4. Step 4: Simplify right side
    209,981.60x = 51,259,364,309.76
  5. Step 5: Solve for x
    x = 51,259,364,309.76/209,981.60
  6. Step 6: Final answer
    x = 244,113.60

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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.