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Finding the Fourth Proportional to 268,453.80, 402,810.30 and 189,397.80

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Solution

The fourth proportional to 268,453.80, 402,810.30 and 189,397.80 is: 284,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,453.80 : 402,810.30 = 189,397.80 : x
  2. Step 2: Convert to fraction form
    268,453.80/402,810.30 = 189,397.80/x
  3. Step 3: Cross multiply
    268,453.80x = 402,810.30 × 189,397.80
  4. Step 4: Simplify right side
    268,453.80x = 76,291,384,637.34
  5. Step 5: Solve for x
    x = 76,291,384,637.34/268,453.80
  6. Step 6: Final answer
    x = 284,188.13

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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.