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Finding the Fourth Proportional to 647,991.87, 972,421.65 and 268,913.00

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Solution

The fourth proportional to 647,991.87, 972,421.65 and 268,913.00 is: 403,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,991.87 : 972,421.65 = 268,913.00 : x
  2. Step 2: Convert to fraction form
    647,991.87/972,421.65 = 268,913.00/x
  3. Step 3: Cross multiply
    647,991.87x = 972,421.65 × 268,913.00
  4. Step 4: Simplify right side
    647,991.87x = 261,496,818,304.34
  5. Step 5: Solve for x
    x = 261,496,818,304.34/647,991.87
  6. Step 6: Final answer
    x = 403,549.54

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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.