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Finding the Fourth Proportional to 261,784.90, 361,253.60 and 159,980.78

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Solution

The fourth proportional to 261,784.90, 361,253.60 and 159,980.78 is: 220,767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,784.90 : 361,253.60 = 159,980.78 : x
  2. Step 2: Convert to fraction form
    261,784.90/361,253.60 = 159,980.78/x
  3. Step 3: Cross multiply
    261,784.90x = 361,253.60 × 159,980.78
  4. Step 4: Simplify right side
    261,784.90x = 57,793,632,705.81
  5. Step 5: Solve for x
    x = 57,793,632,705.81/261,784.90
  6. Step 6: Final answer
    x = 220,767.63

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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.