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Finding the Fourth Proportional to 493,258.72, 740,147.28 and 268,780

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Solution

The fourth proportional to 493,258.72, 740,147.28 and 268,780 is: 403,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,258.72 : 740,147.28 = 268,780 : x
  2. Step 2: Convert to fraction form
    493,258.72/740,147.28 = 268,780/x
  3. Step 3: Cross multiply
    493,258.72x = 740,147.28 × 268,780
  4. Step 4: Simplify right side
    493,258.72x = 198,936,785,918.40
  5. Step 5: Solve for x
    x = 198,936,785,918.40/493,258.72
  6. Step 6: Final answer
    x = 403,311.24

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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.