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Finding the Fourth Proportional to 261,585.46, 392,287.74 and 101,623.69

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Solution

The fourth proportional to 261,585.46, 392,287.74 and 101,623.69 is: 152,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,585.46 : 392,287.74 = 101,623.69 : x
  2. Step 2: Convert to fraction form
    261,585.46/392,287.74 = 101,623.69/x
  3. Step 3: Cross multiply
    261,585.46x = 392,287.74 × 101,623.69
  4. Step 4: Simplify right side
    261,585.46x = 39,865,727,680.56
  5. Step 5: Solve for x
    x = 39,865,727,680.56/261,585.46
  6. Step 6: Final answer
    x = 152,400.40

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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.