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Finding the Fourth Proportional to 393,742.30, 590,224.65 and 156,768.70

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Solution

The fourth proportional to 393,742.30, 590,224.65 and 156,768.70 is: 234,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,742.30 : 590,224.65 = 156,768.70 : x
  2. Step 2: Convert to fraction form
    393,742.30/590,224.65 = 156,768.70/x
  3. Step 3: Cross multiply
    393,742.30x = 590,224.65 × 156,768.70
  4. Step 4: Simplify right side
    393,742.30x = 92,528,751,088.46
  5. Step 5: Solve for x
    x = 92,528,751,088.46/393,742.30
  6. Step 6: Final answer
    x = 234,998.25

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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.