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Finding the Fourth Proportional to 288,663.13, 432,943.66 and 78,317.47

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Solution

The fourth proportional to 288,663.13, 432,943.66 and 78,317.47 is: 117,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,663.13 : 432,943.66 = 78,317.47 : x
  2. Step 2: Convert to fraction form
    288,663.13/432,943.66 = 78,317.47/x
  3. Step 3: Cross multiply
    288,663.13x = 432,943.66 × 78,317.47
  4. Step 4: Simplify right side
    288,663.13x = 33,907,052,103.74
  5. Step 5: Solve for x
    x = 33,907,052,103.74/288,663.13
  6. Step 6: Final answer
    x = 117,462.36

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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.