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Finding the Fourth Proportional to 270,941.46, 406,264.05 and 215,140.02

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Solution

The fourth proportional to 270,941.46, 406,264.05 and 215,140.02 is: 322,592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,941.46 : 406,264.05 = 215,140.02 : x
  2. Step 2: Convert to fraction form
    270,941.46/406,264.05 = 215,140.02/x
  3. Step 3: Cross multiply
    270,941.46x = 406,264.05 × 215,140.02
  4. Step 4: Simplify right side
    270,941.46x = 87,403,655,842.28
  5. Step 5: Solve for x
    x = 87,403,655,842.28/270,941.46
  6. Step 6: Final answer
    x = 322,592.40

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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.