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Finding the Fourth Proportional to 382,378.16, 527,682.16 and 210,298.84

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Solution

The fourth proportional to 382,378.16, 527,682.16 and 210,298.84 is: 290,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,378.16 : 527,682.16 = 210,298.84 : x
  2. Step 2: Convert to fraction form
    382,378.16/527,682.16 = 210,298.84/x
  3. Step 3: Cross multiply
    382,378.16x = 527,682.16 × 210,298.84
  4. Step 4: Simplify right side
    382,378.16x = 110,970,946,136.69
  5. Step 5: Solve for x
    x = 110,970,946,136.69/382,378.16
  6. Step 6: Final answer
    x = 290,212.56

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1.5x scale

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.