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Finding the Fourth Proportional to 256,602, 354,117.16 and 143,443.60

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Solution

The fourth proportional to 256,602, 354,117.16 and 143,443.60 is: 197,955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,602 : 354,117.16 = 143,443.60 : x
  2. Step 2: Convert to fraction form
    256,602/354,117.16 = 143,443.60/x
  3. Step 3: Cross multiply
    256,602x = 354,117.16 × 143,443.60
  4. Step 4: Simplify right side
    256,602x = 50,795,840,252.18
  5. Step 5: Solve for x
    x = 50,795,840,252.18/256,602
  6. Step 6: Final answer
    x = 197,955.75

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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.