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Finding the Fourth Proportional to 274,258.40, 411,430.80 and 87,288.80

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Solution

The fourth proportional to 274,258.40, 411,430.80 and 87,288.80 is: 130,946.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,258.40 : 411,430.80 = 87,288.80 : x
  2. Step 2: Convert to fraction form
    274,258.40/411,430.80 = 87,288.80/x
  3. Step 3: Cross multiply
    274,258.40x = 411,430.80 × 87,288.80
  4. Step 4: Simplify right side
    274,258.40x = 35,913,300,815.04
  5. Step 5: Solve for x
    x = 35,913,300,815.04/274,258.40
  6. Step 6: Final answer
    x = 130,946.95

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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.