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Finding the Fourth Proportional to 540,503.68, 810,772 and 185,512.64

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Solution

The fourth proportional to 540,503.68, 810,772 and 185,512.64 is: 278,274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,503.68 : 810,772 = 185,512.64 : x
  2. Step 2: Convert to fraction form
    540,503.68/810,772 = 185,512.64/x
  3. Step 3: Cross multiply
    540,503.68x = 810,772 × 185,512.64
  4. Step 4: Simplify right side
    540,503.68x = 150,408,454,158.08
  5. Step 5: Solve for x
    x = 150,408,454,158.08/540,503.68
  6. Step 6: Final answer
    x = 278,274.62

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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.