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Finding the Fourth Proportional to 285,412.50, 393,869.25 and 158,096.30

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Solution

The fourth proportional to 285,412.50, 393,869.25 and 158,096.30 is: 218,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,412.50 : 393,869.25 = 158,096.30 : x
  2. Step 2: Convert to fraction form
    285,412.50/393,869.25 = 158,096.30/x
  3. Step 3: Cross multiply
    285,412.50x = 393,869.25 × 158,096.30
  4. Step 4: Simplify right side
    285,412.50x = 62,269,269,139.43
  5. Step 5: Solve for x
    x = 62,269,269,139.43/285,412.50
  6. Step 6: Final answer
    x = 218,172.89

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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.