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Finding the Fourth Proportional to 228,590.46, 342,902.12 and 78,828.59

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Solution

The fourth proportional to 228,590.46, 342,902.12 and 78,828.59 is: 118,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,590.46 : 342,902.12 = 78,828.59 : x
  2. Step 2: Convert to fraction form
    228,590.46/342,902.12 = 78,828.59/x
  3. Step 3: Cross multiply
    228,590.46x = 342,902.12 × 78,828.59
  4. Step 4: Simplify right side
    228,590.46x = 27,030,490,627.61
  5. Step 5: Solve for x
    x = 27,030,490,627.61/228,590.46
  6. Step 6: Final answer
    x = 118,248.55

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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.