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Finding the Fourth Proportional to 513,490.39, 770,046.95 and 176,435.42

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Solution

The fourth proportional to 513,490.39, 770,046.95 and 176,435.42 is: 264,588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,490.39 : 770,046.95 = 176,435.42 : x
  2. Step 2: Convert to fraction form
    513,490.39/770,046.95 = 176,435.42/x
  3. Step 3: Cross multiply
    513,490.39x = 770,046.95 × 176,435.42
  4. Step 4: Simplify right side
    513,490.39x = 135,863,553,633.82
  5. Step 5: Solve for x
    x = 135,863,553,633.82/513,490.39
  6. Step 6: Final answer
    x = 264,588.31

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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.