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Finding the Fourth Proportional to 540,266.54, 810,434.36 and 207,842.54

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Solution

The fourth proportional to 540,266.54, 810,434.36 and 207,842.54 is: 311,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,266.54 : 810,434.36 = 207,842.54 : x
  2. Step 2: Convert to fraction form
    540,266.54/810,434.36 = 207,842.54/x
  3. Step 3: Cross multiply
    540,266.54x = 810,434.36 × 207,842.54
  4. Step 4: Simplify right side
    540,266.54x = 168,442,732,353.11
  5. Step 5: Solve for x
    x = 168,442,732,353.11/540,266.54
  6. Step 6: Final answer
    x = 311,777.10

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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.