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Finding the Fourth Proportional to 548,303.32, 820,180.46 and 514,711

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Solution

The fourth proportional to 548,303.32, 820,180.46 and 514,711 is: 769,931.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,303.32 : 820,180.46 = 514,711 : x
  2. Step 2: Convert to fraction form
    548,303.32/820,180.46 = 514,711/x
  3. Step 3: Cross multiply
    548,303.32x = 820,180.46 × 514,711
  4. Step 4: Simplify right side
    548,303.32x = 422,155,904,747.06
  5. Step 5: Solve for x
    x = 422,155,904,747.06/548,303.32
  6. Step 6: Final answer
    x = 769,931.33

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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.