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Finding the Fourth Proportional to 492,809.50, 679,948.55 and 288,750.79

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Solution

The fourth proportional to 492,809.50, 679,948.55 and 288,750.79 is: 398,400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,809.50 : 679,948.55 = 288,750.79 : x
  2. Step 2: Convert to fraction form
    492,809.50/679,948.55 = 288,750.79/x
  3. Step 3: Cross multiply
    492,809.50x = 679,948.55 × 288,750.79
  4. Step 4: Simplify right side
    492,809.50x = 196,335,676,128.36
  5. Step 5: Solve for x
    x = 196,335,676,128.36/492,809.50
  6. Step 6: Final answer
    x = 398,400.76

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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.