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Finding the Fourth Proportional to 284,717.62, 427,071.03 and 85,038.58

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Solution

The fourth proportional to 284,717.62, 427,071.03 and 85,038.58 is: 127,556.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,717.62 : 427,071.03 = 85,038.58 : x
  2. Step 2: Convert to fraction form
    284,717.62/427,071.03 = 85,038.58/x
  3. Step 3: Cross multiply
    284,717.62x = 427,071.03 × 85,038.58
  4. Step 4: Simplify right side
    284,717.62x = 36,317,513,950.34
  5. Step 5: Solve for x
    x = 36,317,513,950.34/284,717.62
  6. Step 6: Final answer
    x = 127,556.26

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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.