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Finding the Fourth Proportional to 442,413, 663,621.93 and 109,989

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Solution

The fourth proportional to 442,413, 663,621.93 and 109,989 is: 164,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,413 : 663,621.93 = 109,989 : x
  2. Step 2: Convert to fraction form
    442,413/663,621.93 = 109,989/x
  3. Step 3: Cross multiply
    442,413x = 663,621.93 × 109,989
  4. Step 4: Simplify right side
    442,413x = 72,991,112,458.77
  5. Step 5: Solve for x
    x = 72,991,112,458.77/442,413
  6. Step 6: Final answer
    x = 164,984.10

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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.