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Finding the Fourth Proportional to 487,829.71, 731,744.57 and 321,578.83

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Solution

The fourth proportional to 487,829.71, 731,744.57 and 321,578.83 is: 482,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,829.71 : 731,744.57 = 321,578.83 : x
  2. Step 2: Convert to fraction form
    487,829.71/731,744.57 = 321,578.83/x
  3. Step 3: Cross multiply
    487,829.71x = 731,744.57 × 321,578.83
  4. Step 4: Simplify right side
    487,829.71x = 235,313,562,679.45
  5. Step 5: Solve for x
    x = 235,313,562,679.45/487,829.71
  6. Step 6: Final answer
    x = 482,368.25

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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.