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Finding the Fourth Proportional to 214,894.40, 322,024.80 and 155,854.40

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Solution

The fourth proportional to 214,894.40, 322,024.80 and 155,854.40 is: 233,551.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,894.40 : 322,024.80 = 155,854.40 : x
  2. Step 2: Convert to fraction form
    214,894.40/322,024.80 = 155,854.40/x
  3. Step 3: Cross multiply
    214,894.40x = 322,024.80 × 155,854.40
  4. Step 4: Simplify right side
    214,894.40x = 50,188,981,989.12
  5. Step 5: Solve for x
    x = 50,188,981,989.12/214,894.40
  6. Step 6: Final answer
    x = 233,551.84

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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.