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Finding the Fourth Proportional to 295,746.75, 408,130.70 and 159,780.62

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Solution

The fourth proportional to 295,746.75, 408,130.70 and 159,780.62 is: 220,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,746.75 : 408,130.70 = 159,780.62 : x
  2. Step 2: Convert to fraction form
    295,746.75/408,130.70 = 159,780.62/x
  3. Step 3: Cross multiply
    295,746.75x = 408,130.70 × 159,780.62
  4. Step 4: Simplify right side
    295,746.75x = 65,211,376,287.03
  5. Step 5: Solve for x
    x = 65,211,376,287.03/295,746.75
  6. Step 6: Final answer
    x = 220,497.36

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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.