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Finding the Fourth Proportional to 328,212.84, 492,319.10 and 78,894.76

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Solution

The fourth proportional to 328,212.84, 492,319.10 and 78,894.76 is: 118,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,212.84 : 492,319.10 = 78,894.76 : x
  2. Step 2: Convert to fraction form
    328,212.84/492,319.10 = 78,894.76/x
  3. Step 3: Cross multiply
    328,212.84x = 492,319.10 × 78,894.76
  4. Step 4: Simplify right side
    328,212.84x = 38,841,397,237.92
  5. Step 5: Solve for x
    x = 38,841,397,237.92/328,212.84
  6. Step 6: Final answer
    x = 118,342.10

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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.