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Finding the Fourth Proportional to 289,004.13, 433,462.41 and 78,658.47

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Solution

The fourth proportional to 289,004.13, 433,462.41 and 78,658.47 is: 117,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,004.13 : 433,462.41 = 78,658.47 : x
  2. Step 2: Convert to fraction form
    289,004.13/433,462.41 = 78,658.47/x
  3. Step 3: Cross multiply
    289,004.13x = 433,462.41 × 78,658.47
  4. Step 4: Simplify right side
    289,004.13x = 34,095,489,973.11
  5. Step 5: Solve for x
    x = 34,095,489,973.11/289,004.13
  6. Step 6: Final answer
    x = 117,975.79

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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.