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Finding the Fourth Proportional to 522,092.80, 783,139.20 and 272,742.40

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Solution

The fourth proportional to 522,092.80, 783,139.20 and 272,742.40 is: 409,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,092.80 : 783,139.20 = 272,742.40 : x
  2. Step 2: Convert to fraction form
    522,092.80/783,139.20 = 272,742.40/x
  3. Step 3: Cross multiply
    522,092.80x = 783,139.20 × 272,742.40
  4. Step 4: Simplify right side
    522,092.80x = 213,595,264,942.08
  5. Step 5: Solve for x
    x = 213,595,264,942.08/522,092.80
  6. Step 6: Final answer
    x = 409,113.60

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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.