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Finding the Fourth Proportional to 284,421.42, 426,702.21 and 84,740.94

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Solution

The fourth proportional to 284,421.42, 426,702.21 and 84,740.94 is: 127,132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,421.42 : 426,702.21 = 84,740.94 : x
  2. Step 2: Convert to fraction form
    284,421.42/426,702.21 = 84,740.94/x
  3. Step 3: Cross multiply
    284,421.42x = 426,702.21 × 84,740.94
  4. Step 4: Simplify right side
    284,421.42x = 36,159,146,375.48
  5. Step 5: Solve for x
    x = 36,159,146,375.48/284,421.42
  6. Step 6: Final answer
    x = 127,132.29

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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.