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Finding the Fourth Proportional to 975,648.78, 1,463,473.17 and 643,147.02

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Solution

The fourth proportional to 975,648.78, 1,463,473.17 and 643,147.02 is: 964,720.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,648.78 : 1,463,473.17 = 643,147.02 : x
  2. Step 2: Convert to fraction form
    975,648.78/1,463,473.17 = 643,147.02/x
  3. Step 3: Cross multiply
    975,648.78x = 1,463,473.17 × 643,147.02
  4. Step 4: Simplify right side
    975,648.78x = 941,228,408,135.45
  5. Step 5: Solve for x
    x = 941,228,408,135.45/975,648.78
  6. Step 6: Final answer
    x = 964,720.53

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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.