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Finding the Fourth Proportional to 483,857.40, 724,230.90 and 343,889.40

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Solution

The fourth proportional to 483,857.40, 724,230.90 and 343,889.40 is: 514,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,857.40 : 724,230.90 = 343,889.40 : x
  2. Step 2: Convert to fraction form
    483,857.40/724,230.90 = 343,889.40/x
  3. Step 3: Cross multiply
    483,857.40x = 724,230.90 × 343,889.40
  4. Step 4: Simplify right side
    483,857.40x = 249,055,329,662.46
  5. Step 5: Solve for x
    x = 249,055,329,662.46/483,857.40
  6. Step 6: Final answer
    x = 514,728.78

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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.