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Finding the Fourth Proportional to 455,995.52, 684,081.12 and 189,612.80

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Solution

The fourth proportional to 455,995.52, 684,081.12 and 189,612.80 is: 284,455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,995.52 : 684,081.12 = 189,612.80 : x
  2. Step 2: Convert to fraction form
    455,995.52/684,081.12 = 189,612.80/x
  3. Step 3: Cross multiply
    455,995.52x = 684,081.12 × 189,612.80
  4. Step 4: Simplify right side
    455,995.52x = 129,710,536,590.34
  5. Step 5: Solve for x
    x = 129,710,536,590.34/455,995.52
  6. Step 6: Final answer
    x = 284,455.73

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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.