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Finding the Fourth Proportional to 260,017.77, 389,707.65 and 147,792

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Solution

The fourth proportional to 260,017.77, 389,707.65 and 147,792 is: 221,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,017.77 : 389,707.65 = 147,792 : x
  2. Step 2: Convert to fraction form
    260,017.77/389,707.65 = 147,792/x
  3. Step 3: Cross multiply
    260,017.77x = 389,707.65 × 147,792
  4. Step 4: Simplify right side
    260,017.77x = 57,595,673,008.80
  5. Step 5: Solve for x
    x = 57,595,673,008.80/260,017.77
  6. Step 6: Final answer
    x = 221,506.68

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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.