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Finding the Fourth Proportional to 256,823.50, 354,417.81 and 143,646.22

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Solution

The fourth proportional to 256,823.50, 354,417.81 and 143,646.22 is: 198,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,823.50 : 354,417.81 = 143,646.22 : x
  2. Step 2: Convert to fraction form
    256,823.50/354,417.81 = 143,646.22/x
  3. Step 3: Cross multiply
    256,823.50x = 354,417.81 × 143,646.22
  4. Step 4: Simplify right side
    256,823.50x = 50,910,778,707.18
  5. Step 5: Solve for x
    x = 50,910,778,707.18/256,823.50
  6. Step 6: Final answer
    x = 198,232.56

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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.