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Finding the Fourth Proportional to 540,365.10, 810,564.05 and 185,374

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Solution

The fourth proportional to 540,365.10, 810,564.05 and 185,374 is: 278,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,365.10 : 810,564.05 = 185,374 : x
  2. Step 2: Convert to fraction form
    540,365.10/810,564.05 = 185,374/x
  3. Step 3: Cross multiply
    540,365.10x = 810,564.05 × 185,374
  4. Step 4: Simplify right side
    540,365.10x = 150,257,500,204.70
  5. Step 5: Solve for x
    x = 150,257,500,204.70/540,365.10
  6. Step 6: Final answer
    x = 278,066.63

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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.