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Finding the Fourth Proportional to 540,266.66, 810,434.55 and 207,842.66

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Solution

The fourth proportional to 540,266.66, 810,434.55 and 207,842.66 is: 311,777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,266.66 : 810,434.55 = 207,842.66 : x
  2. Step 2: Convert to fraction form
    540,266.66/810,434.55 = 207,842.66/x
  3. Step 3: Cross multiply
    540,266.66x = 810,434.55 × 207,842.66
  4. Step 4: Simplify right side
    540,266.66x = 168,442,872,627.90
  5. Step 5: Solve for x
    x = 168,442,872,627.90/540,266.66
  6. Step 6: Final answer
    x = 311,777.29

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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.