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Finding the Fourth Proportional to 321,862.60, 482,880.30 and 287,043.40

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Solution

The fourth proportional to 321,862.60, 482,880.30 and 287,043.40 is: 430,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,862.60 : 482,880.30 = 287,043.40 : x
  2. Step 2: Convert to fraction form
    321,862.60/482,880.30 = 287,043.40/x
  3. Step 3: Cross multiply
    321,862.60x = 482,880.30 × 287,043.40
  4. Step 4: Simplify right side
    321,862.60x = 138,607,603,105.02
  5. Step 5: Solve for x
    x = 138,607,603,105.02/321,862.60
  6. Step 6: Final answer
    x = 430,642.15

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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.