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Finding the Fourth Proportional to 680,095.08, 938,518.50 and 465,227.88

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Solution

The fourth proportional to 680,095.08, 938,518.50 and 465,227.88 is: 642,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,095.08 : 938,518.50 = 465,227.88 : x
  2. Step 2: Convert to fraction form
    680,095.08/938,518.50 = 465,227.88/x
  3. Step 3: Cross multiply
    680,095.08x = 938,518.50 × 465,227.88
  4. Step 4: Simplify right side
    680,095.08x = 436,624,972,095.78
  5. Step 5: Solve for x
    x = 436,624,972,095.78/680,095.08
  6. Step 6: Final answer
    x = 642,005.78

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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.