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Finding the Fourth Proportional to 507,624, 761,436 and 212,136

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Solution

The fourth proportional to 507,624, 761,436 and 212,136 is: 318,204

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,624 : 761,436 = 212,136 : x
  2. Step 2: Convert to fraction form
    507,624/761,436 = 212,136/x
  3. Step 3: Cross multiply
    507,624x = 761,436 × 212,136
  4. Step 4: Simplify right side
    507,624x = 161,527,987,296
  5. Step 5: Solve for x
    x = 161,527,987,296/507,624
  6. Step 6: Final answer
    x = 318,204

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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.