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Finding the Fourth Proportional to 518,133.16, 777,195.42 and 144,155.08

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Solution

The fourth proportional to 518,133.16, 777,195.42 and 144,155.08 is: 216,231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,133.16 : 777,195.42 = 144,155.08 : x
  2. Step 2: Convert to fraction form
    518,133.16/777,195.42 = 144,155.08/x
  3. Step 3: Cross multiply
    518,133.16x = 777,195.42 × 144,155.08
  4. Step 4: Simplify right side
    518,133.16x = 112,036,667,945.73
  5. Step 5: Solve for x
    x = 112,036,667,945.73/518,133.16
  6. Step 6: Final answer
    x = 216,231.42

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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.