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Finding the Fourth Proportional to 228,592.28, 342,904.85 and 78,830.42

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Solution

The fourth proportional to 228,592.28, 342,904.85 and 78,830.42 is: 118,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,592.28 : 342,904.85 = 78,830.42 : x
  2. Step 2: Convert to fraction form
    228,592.28/342,904.85 = 78,830.42/x
  3. Step 3: Cross multiply
    228,592.28x = 342,904.85 × 78,830.42
  4. Step 4: Simplify right side
    228,592.28x = 27,031,333,345.54
  5. Step 5: Solve for x
    x = 27,031,333,345.54/228,592.28
  6. Step 6: Final answer
    x = 118,251.30

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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.