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Finding the Fourth Proportional to 282,622, 423,934 and 85,630

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Solution

The fourth proportional to 282,622, 423,934 and 85,630 is: 128,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,622 : 423,934 = 85,630 : x
  2. Step 2: Convert to fraction form
    282,622/423,934 = 85,630/x
  3. Step 3: Cross multiply
    282,622x = 423,934 × 85,630
  4. Step 4: Simplify right side
    282,622x = 36,301,468,420
  5. Step 5: Solve for x
    x = 36,301,468,420/282,622
  6. Step 6: Final answer
    x = 128,445.30

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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.