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Finding the Fourth Proportional to 284,906.61, 427,423.10 and 107,415.16

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Solution

The fourth proportional to 284,906.61, 427,423.10 and 107,415.16 is: 161,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,906.61 : 427,423.10 = 107,415.16 : x
  2. Step 2: Convert to fraction form
    284,906.61/427,423.10 = 107,415.16/x
  3. Step 3: Cross multiply
    284,906.61x = 427,423.10 × 107,415.16
  4. Step 4: Simplify right side
    284,906.61x = 45,911,719,068.56
  5. Step 5: Solve for x
    x = 45,911,719,068.56/284,906.61
  6. Step 6: Final answer
    x = 161,146.56

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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.