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Finding the Fourth Proportional to 288,363.04, 431,964.56 and 143,833.12

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Solution

The fourth proportional to 288,363.04, 431,964.56 and 143,833.12 is: 215,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,363.04 : 431,964.56 = 143,833.12 : x
  2. Step 2: Convert to fraction form
    288,363.04/431,964.56 = 143,833.12/x
  3. Step 3: Cross multiply
    288,363.04x = 431,964.56 × 143,833.12
  4. Step 4: Simplify right side
    288,363.04x = 62,130,810,394.23
  5. Step 5: Solve for x
    x = 62,130,810,394.23/288,363.04
  6. Step 6: Final answer
    x = 215,460.38

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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.