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Finding the Fourth Proportional to 647,182.28, 970,010.94 and 291,780.20

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Solution

The fourth proportional to 647,182.28, 970,010.94 and 291,780.20 is: 437,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,182.28 : 970,010.94 = 291,780.20 : x
  2. Step 2: Convert to fraction form
    647,182.28/970,010.94 = 291,780.20/x
  3. Step 3: Cross multiply
    647,182.28x = 970,010.94 × 291,780.20
  4. Step 4: Simplify right side
    647,182.28x = 283,029,986,075.39
  5. Step 5: Solve for x
    x = 283,029,986,075.39/647,182.28
  6. Step 6: Final answer
    x = 437,326.54

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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.