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Finding the Fourth Proportional to 256,967.16, 354,615.12 and 143,790

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Solution

The fourth proportional to 256,967.16, 354,615.12 and 143,790 is: 198,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,967.16 : 354,615.12 = 143,790 : x
  2. Step 2: Convert to fraction form
    256,967.16/354,615.12 = 143,790/x
  3. Step 3: Cross multiply
    256,967.16x = 354,615.12 × 143,790
  4. Step 4: Simplify right side
    256,967.16x = 50,990,108,104.80
  5. Step 5: Solve for x
    x = 50,990,108,104.80/256,967.16
  6. Step 6: Final answer
    x = 198,430.45

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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.