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Finding the Fourth Proportional to 480,782, 663,399.96 and 265,880

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Solution

The fourth proportional to 480,782, 663,399.96 and 265,880 is: 366,870.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,782 : 663,399.96 = 265,880 : x
  2. Step 2: Convert to fraction form
    480,782/663,399.96 = 265,880/x
  3. Step 3: Cross multiply
    480,782x = 663,399.96 × 265,880
  4. Step 4: Simplify right side
    480,782x = 176,384,781,364.80
  5. Step 5: Solve for x
    x = 176,384,781,364.80/480,782
  6. Step 6: Final answer
    x = 366,870.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.