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Finding the Fourth Proportional to 343,583.31, 514,952.15 and 163,763.31

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Solution

The fourth proportional to 343,583.31, 514,952.15 and 163,763.31 is: 245,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,583.31 : 514,952.15 = 163,763.31 : x
  2. Step 2: Convert to fraction form
    343,583.31/514,952.15 = 163,763.31/x
  3. Step 3: Cross multiply
    343,583.31x = 514,952.15 × 163,763.31
  4. Step 4: Simplify right side
    343,583.31x = 84,330,267,756.80
  5. Step 5: Solve for x
    x = 84,330,267,756.80/343,583.31
  6. Step 6: Final answer
    x = 245,443.43

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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.