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Finding the Fourth Proportional to 285,013.92, 427,520.48 and 114,312.64

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Solution

The fourth proportional to 285,013.92, 427,520.48 and 114,312.64 is: 171,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,013.92 : 427,520.48 = 114,312.64 : x
  2. Step 2: Convert to fraction form
    285,013.92/427,520.48 = 114,312.64/x
  3. Step 3: Cross multiply
    285,013.92x = 427,520.48 × 114,312.64
  4. Step 4: Simplify right side
    285,013.92x = 48,870,994,722.87
  5. Step 5: Solve for x
    x = 48,870,994,722.87/285,013.92
  6. Step 6: Final answer
    x = 171,468.80

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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.