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Finding the Fourth Proportional to 270,964.84, 406,486.86 and 130,608.04

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Solution

The fourth proportional to 270,964.84, 406,486.86 and 130,608.04 is: 195,931.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,964.84 : 406,486.86 = 130,608.04 : x
  2. Step 2: Convert to fraction form
    270,964.84/406,486.86 = 130,608.04/x
  3. Step 3: Cross multiply
    270,964.84x = 406,486.86 × 130,608.04
  4. Step 4: Simplify right side
    270,964.84x = 53,090,452,070.35
  5. Step 5: Solve for x
    x = 53,090,452,070.35/270,964.84
  6. Step 6: Final answer
    x = 195,931.15

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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.