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Finding the Fourth Proportional to 646,970.28, 970,635.45 and 282,263.80

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Solution

The fourth proportional to 646,970.28, 970,635.45 and 282,263.80 is: 423,474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,970.28 : 970,635.45 = 282,263.80 : x
  2. Step 2: Convert to fraction form
    646,970.28/970,635.45 = 282,263.80/x
  3. Step 3: Cross multiply
    646,970.28x = 970,635.45 × 282,263.80
  4. Step 4: Simplify right side
    646,970.28x = 273,975,245,872.04
  5. Step 5: Solve for x
    x = 273,975,245,872.04/646,970.28
  6. Step 6: Final answer
    x = 423,474.24

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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.