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Finding the Fourth Proportional to 287,448,862.80, 431,229,281.40 and 82,983,608.40

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Solution

The fourth proportional to 287,448,862.80, 431,229,281.40 and 82,983,608.40 is: 124,491,575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,448,862.80 : 431,229,281.40 = 82,983,608.40 : x
  2. Step 2: Convert to fraction form
    287,448,862.80/431,229,281.40 = 82,983,608.40/x
  3. Step 3: Cross multiply
    287,448,862.80x = 431,229,281.40 × 82,983,608.40
  4. Step 4: Simplify right side
    287,448,862.80x = 35,784,961,818,311,004
  5. Step 5: Solve for x
    x = 35,784,961,818,311,004/287,448,862.80
  6. Step 6: Final answer
    x = 124,491,575.54

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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.