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Finding the Fourth Proportional to 261,504.96, 392,467.64 and 135,182.40

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Solution

The fourth proportional to 261,504.96, 392,467.64 and 135,182.40 is: 202,882.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,504.96 : 392,467.64 = 135,182.40 : x
  2. Step 2: Convert to fraction form
    261,504.96/392,467.64 = 135,182.40/x
  3. Step 3: Cross multiply
    261,504.96x = 392,467.64 × 135,182.40
  4. Step 4: Simplify right side
    261,504.96x = 53,054,717,497.54
  5. Step 5: Solve for x
    x = 53,054,717,497.54/261,504.96
  6. Step 6: Final answer
    x = 202,882.26

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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.