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Finding the Fourth Proportional to 284,599.78, 426,913.34 and 84,935.79

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Solution

The fourth proportional to 284,599.78, 426,913.34 and 84,935.79 is: 127,407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,599.78 : 426,913.34 = 84,935.79 : x
  2. Step 2: Convert to fraction form
    284,599.78/426,913.34 = 84,935.79/x
  3. Step 3: Cross multiply
    284,599.78x = 426,913.34 × 84,935.79
  4. Step 4: Simplify right side
    284,599.78x = 36,260,221,369.76
  5. Step 5: Solve for x
    x = 36,260,221,369.76/284,599.78
  6. Step 6: Final answer
    x = 127,407.76

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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.