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Finding the Fourth Proportional to 382,521.81, 527,872.75 and 210,429.71

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Solution

The fourth proportional to 382,521.81, 527,872.75 and 210,429.71 is: 290,388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,521.81 : 527,872.75 = 210,429.71 : x
  2. Step 2: Convert to fraction form
    382,521.81/527,872.75 = 210,429.71/x
  3. Step 3: Cross multiply
    382,521.81x = 527,872.75 × 210,429.71
  4. Step 4: Simplify right side
    382,521.81x = 111,080,111,482.77
  5. Step 5: Solve for x
    x = 111,080,111,482.77/382,521.81
  6. Step 6: Final answer
    x = 290,388.96

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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.