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Finding the Fourth Proportional to 291,171.69, 434,144.70 and 285,857.28

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Solution

The fourth proportional to 291,171.69, 434,144.70 and 285,857.28 is: 426,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,171.69 : 434,144.70 = 285,857.28 : x
  2. Step 2: Convert to fraction form
    291,171.69/434,144.70 = 285,857.28/x
  3. Step 3: Cross multiply
    291,171.69x = 434,144.70 × 285,857.28
  4. Step 4: Simplify right side
    291,171.69x = 124,103,423,068.42
  5. Step 5: Solve for x
    x = 124,103,423,068.42/291,171.69
  6. Step 6: Final answer
    x = 426,220.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.