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Finding the Fourth Proportional to 465,218.54, 697,711.16 and 340,329.50

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Solution

The fourth proportional to 465,218.54, 697,711.16 and 340,329.50 is: 510,408.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,218.54 : 697,711.16 = 340,329.50 : x
  2. Step 2: Convert to fraction form
    465,218.54/697,711.16 = 340,329.50/x
  3. Step 3: Cross multiply
    465,218.54x = 697,711.16 × 340,329.50
  4. Step 4: Simplify right side
    465,218.54x = 237,451,690,227.22
  5. Step 5: Solve for x
    x = 237,451,690,227.22/465,218.54
  6. Step 6: Final answer
    x = 510,408.91

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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.