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Finding the Fourth Proportional to 261,784.94, 361,253.58 and 159,980.76

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Solution

The fourth proportional to 261,784.94, 361,253.58 and 159,980.76 is: 220,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,784.94 : 361,253.58 = 159,980.76 : x
  2. Step 2: Convert to fraction form
    261,784.94/361,253.58 = 159,980.76/x
  3. Step 3: Cross multiply
    261,784.94x = 361,253.58 × 159,980.76
  4. Step 4: Simplify right side
    261,784.94x = 57,793,622,281.12
  5. Step 5: Solve for x
    x = 57,793,622,281.12/261,784.94
  6. Step 6: Final answer
    x = 220,767.56

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Double scale
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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.