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Finding the Fourth Proportional to 975,610.40, 1,462,978.20 and 442,857.20

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Solution

The fourth proportional to 975,610.40, 1,462,978.20 and 442,857.20 is: 664,087.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,610.40 : 1,462,978.20 = 442,857.20 : x
  2. Step 2: Convert to fraction form
    975,610.40/1,462,978.20 = 442,857.20/x
  3. Step 3: Cross multiply
    975,610.40x = 1,462,978.20 × 442,857.20
  4. Step 4: Simplify right side
    975,610.40x = 647,890,429,313.04
  5. Step 5: Solve for x
    x = 647,890,429,313.04/975,610.40
  6. Step 6: Final answer
    x = 664,087.25

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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.