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Finding the Fourth Proportional to 382,522.56, 527,873.78 and 210,430.46

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Solution

The fourth proportional to 382,522.56, 527,873.78 and 210,430.46 is: 290,389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,522.56 : 527,873.78 = 210,430.46 : x
  2. Step 2: Convert to fraction form
    382,522.56/527,873.78 = 210,430.46/x
  3. Step 3: Cross multiply
    382,522.56x = 527,873.78 × 210,430.46
  4. Step 4: Simplify right side
    382,522.56x = 111,080,724,193.10
  5. Step 5: Solve for x
    x = 111,080,724,193.10/382,522.56
  6. Step 6: Final answer
    x = 290,389.99

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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.