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Finding the Fourth Proportional to 356,989.06, 492,651.48 and 195,834.30

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Solution

The fourth proportional to 356,989.06, 492,651.48 and 195,834.30 is: 270,254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,989.06 : 492,651.48 = 195,834.30 : x
  2. Step 2: Convert to fraction form
    356,989.06/492,651.48 = 195,834.30/x
  3. Step 3: Cross multiply
    356,989.06x = 492,651.48 × 195,834.30
  4. Step 4: Simplify right side
    356,989.06x = 96,478,057,729.76
  5. Step 5: Solve for x
    x = 96,478,057,729.76/356,989.06
  6. Step 6: Final answer
    x = 270,254.94

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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.