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Finding the Fourth Proportional to 536,986.80, 807,229.80 and 380,300.40

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Solution

The fourth proportional to 536,986.80, 807,229.80 and 380,300.40 is: 571,689.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,986.80 : 807,229.80 = 380,300.40 : x
  2. Step 2: Convert to fraction form
    536,986.80/807,229.80 = 380,300.40/x
  3. Step 3: Cross multiply
    536,986.80x = 807,229.80 × 380,300.40
  4. Step 4: Simplify right side
    536,986.80x = 306,989,815,831.92
  5. Step 5: Solve for x
    x = 306,989,815,831.92/536,986.80
  6. Step 6: Final answer
    x = 571,689.69

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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.