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Finding the Fourth Proportional to 282,470.44, 389,714.34 and 159,946.12

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Solution

The fourth proportional to 282,470.44, 389,714.34 and 159,946.12 is: 220,671.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,470.44 : 389,714.34 = 159,946.12 : x
  2. Step 2: Convert to fraction form
    282,470.44/389,714.34 = 159,946.12/x
  3. Step 3: Cross multiply
    282,470.44x = 389,714.34 × 159,946.12
  4. Step 4: Simplify right side
    282,470.44x = 62,333,296,591.36
  5. Step 5: Solve for x
    x = 62,333,296,591.36/282,470.44
  6. Step 6: Final answer
    x = 220,671.93

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1.5x scale

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.