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Finding the Fourth Proportional to 306,115.72, 459,207.06 and 103,857.86

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Solution

The fourth proportional to 306,115.72, 459,207.06 and 103,857.86 is: 155,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,115.72 : 459,207.06 = 103,857.86 : x
  2. Step 2: Convert to fraction form
    306,115.72/459,207.06 = 103,857.86/x
  3. Step 3: Cross multiply
    306,115.72x = 459,207.06 × 103,857.86
  4. Step 4: Simplify right side
    306,115.72x = 47,692,260,252.46
  5. Step 5: Solve for x
    x = 47,692,260,252.46/306,115.72
  6. Step 6: Final answer
    x = 155,798.14

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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.