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Finding the Fourth Proportional to 270,718.10, 406,077.15 and 165,742.10

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Solution

The fourth proportional to 270,718.10, 406,077.15 and 165,742.10 is: 248,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,718.10 : 406,077.15 = 165,742.10 : x
  2. Step 2: Convert to fraction form
    270,718.10/406,077.15 = 165,742.10/x
  3. Step 3: Cross multiply
    270,718.10x = 406,077.15 × 165,742.10
  4. Step 4: Simplify right side
    270,718.10x = 67,304,079,603.02
  5. Step 5: Solve for x
    x = 67,304,079,603.02/270,718.10
  6. Step 6: Final answer
    x = 248,613.15

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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.