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Finding the Fourth Proportional to 455,385.84, 683,089.69 and 155,864.44

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Solution

The fourth proportional to 455,385.84, 683,089.69 and 155,864.44 is: 233,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,385.84 : 683,089.69 = 155,864.44 : x
  2. Step 2: Convert to fraction form
    455,385.84/683,089.69 = 155,864.44/x
  3. Step 3: Cross multiply
    455,385.84x = 683,089.69 × 155,864.44
  4. Step 4: Simplify right side
    455,385.84x = 106,469,392,001.62
  5. Step 5: Solve for x
    x = 106,469,392,001.62/455,385.84
  6. Step 6: Final answer
    x = 233,800.40

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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.