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Finding the Fourth Proportional to 535,299.46, 802,694.95 and 310,728.74

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Solution

The fourth proportional to 535,299.46, 802,694.95 and 310,728.74 is: 465,945.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,299.46 : 802,694.95 = 310,728.74 : x
  2. Step 2: Convert to fraction form
    535,299.46/802,694.95 = 310,728.74/x
  3. Step 3: Cross multiply
    535,299.46x = 802,694.95 × 310,728.74
  4. Step 4: Simplify right side
    535,299.46x = 249,420,385,627.57
  5. Step 5: Solve for x
    x = 249,420,385,627.57/535,299.46
  6. Step 6: Final answer
    x = 465,945.52

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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.