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Finding the Fourth Proportional to 385,710.62, 532,240.13 and 213,624.07

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Solution

The fourth proportional to 385,710.62, 532,240.13 and 213,624.07 is: 294,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,710.62 : 532,240.13 = 213,624.07 : x
  2. Step 2: Convert to fraction form
    385,710.62/532,240.13 = 213,624.07/x
  3. Step 3: Cross multiply
    385,710.62x = 532,240.13 × 213,624.07
  4. Step 4: Simplify right side
    385,710.62x = 113,699,302,787.93
  5. Step 5: Solve for x
    x = 113,699,302,787.93/385,710.62
  6. Step 6: Final answer
    x = 294,778.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.