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Finding the Fourth Proportional to 803,870.20, 1,205,792.92 and 271,765

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Solution

The fourth proportional to 803,870.20, 1,205,792.92 and 271,765 is: 407,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,870.20 : 1,205,792.92 = 271,765 : x
  2. Step 2: Convert to fraction form
    803,870.20/1,205,792.92 = 271,765/x
  3. Step 3: Cross multiply
    803,870.20x = 1,205,792.92 × 271,765
  4. Step 4: Simplify right side
    803,870.20x = 327,692,312,903.80
  5. Step 5: Solve for x
    x = 327,692,312,903.80/803,870.20
  6. Step 6: Final answer
    x = 407,643.31

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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.