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Finding the Fourth Proportional to 318,769.36, 478,039.14 and 105,497.87

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Solution

The fourth proportional to 318,769.36, 478,039.14 and 105,497.87 is: 158,208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,769.36 : 478,039.14 = 105,497.87 : x
  2. Step 2: Convert to fraction form
    318,769.36/478,039.14 = 105,497.87/x
  3. Step 3: Cross multiply
    318,769.36x = 478,039.14 × 105,497.87
  4. Step 4: Simplify right side
    318,769.36x = 50,432,108,656.44
  5. Step 5: Solve for x
    x = 50,432,108,656.44/318,769.36
  6. Step 6: Final answer
    x = 158,208.77

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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.