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Finding the Fourth Proportional to 308,400.78, 462,376.89 and 208,312.86

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Solution

The fourth proportional to 308,400.78, 462,376.89 and 208,312.86 is: 312,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,400.78 : 462,376.89 = 208,312.86 : x
  2. Step 2: Convert to fraction form
    308,400.78/462,376.89 = 208,312.86/x
  3. Step 3: Cross multiply
    308,400.78x = 462,376.89 × 208,312.86
  4. Step 4: Simplify right side
    308,400.78x = 96,319,052,353.81
  5. Step 5: Solve for x
    x = 96,319,052,353.81/308,400.78
  6. Step 6: Final answer
    x = 312,317.80

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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.