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Finding the Fourth Proportional to 442,155.60, 663,362.60 and 142,629.57

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Solution

The fourth proportional to 442,155.60, 663,362.60 and 142,629.57 is: 213,986.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,155.60 : 663,362.60 = 142,629.57 : x
  2. Step 2: Convert to fraction form
    442,155.60/663,362.60 = 142,629.57/x
  3. Step 3: Cross multiply
    442,155.60x = 663,362.60 × 142,629.57
  4. Step 4: Simplify right side
    442,155.60x = 94,615,121,678.93
  5. Step 5: Solve for x
    x = 94,615,121,678.93/442,155.60
  6. Step 6: Final answer
    x = 213,986.03

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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.