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Finding the Fourth Proportional to 261,785.84, 392,315.46 and 119,282.85

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Solution

The fourth proportional to 261,785.84, 392,315.46 and 119,282.85 is: 178,758.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,785.84 : 392,315.46 = 119,282.85 : x
  2. Step 2: Convert to fraction form
    261,785.84/392,315.46 = 119,282.85/x
  3. Step 3: Cross multiply
    261,785.84x = 392,315.46 × 119,282.85
  4. Step 4: Simplify right side
    261,785.84x = 46,796,506,167.86
  5. Step 5: Solve for x
    x = 46,796,506,167.86/261,785.84
  6. Step 6: Final answer
    x = 178,758.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.