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Finding the Fourth Proportional to 282,337.60, 389,626.55 and 155,021.40

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Solution

The fourth proportional to 282,337.60, 389,626.55 and 155,021.40 is: 213,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,337.60 : 389,626.55 = 155,021.40 : x
  2. Step 2: Convert to fraction form
    282,337.60/389,626.55 = 155,021.40/x
  3. Step 3: Cross multiply
    282,337.60x = 389,626.55 × 155,021.40
  4. Step 4: Simplify right side
    282,337.60x = 60,400,453,258.17
  5. Step 5: Solve for x
    x = 60,400,453,258.17/282,337.60
  6. Step 6: Final answer
    x = 213,929.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.