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Finding the Fourth Proportional to 261,785.50, 392,314.94 and 119,282.51

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Solution

The fourth proportional to 261,785.50, 392,314.94 and 119,282.51 is: 178,758.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,785.50 : 392,314.94 = 119,282.51 : x
  2. Step 2: Convert to fraction form
    261,785.50/392,314.94 = 119,282.51/x
  3. Step 3: Cross multiply
    261,785.50x = 392,314.94 × 119,282.51
  4. Step 4: Simplify right side
    261,785.50x = 46,796,311,628.47
  5. Step 5: Solve for x
    x = 46,796,311,628.47/261,785.50
  6. Step 6: Final answer
    x = 178,758.23

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1.5x scale

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.