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Finding the Fourth Proportional to 462,178.98, 692,809.20 and 321,642.36

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Solution

The fourth proportional to 462,178.98, 692,809.20 and 321,642.36 is: 482,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,178.98 : 692,809.20 = 321,642.36 : x
  2. Step 2: Convert to fraction form
    462,178.98/692,809.20 = 321,642.36/x
  3. Step 3: Cross multiply
    462,178.98x = 692,809.20 × 321,642.36
  4. Step 4: Simplify right side
    462,178.98x = 222,836,786,117.71
  5. Step 5: Solve for x
    x = 222,836,786,117.71/462,178.98
  6. Step 6: Final answer
    x = 482,143.92

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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.