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Finding the Fourth Proportional to 256,897.66, 385,092.35 and 121,724.28

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Solution

The fourth proportional to 256,897.66, 385,092.35 and 121,724.28 is: 182,466.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,897.66 : 385,092.35 = 121,724.28 : x
  2. Step 2: Convert to fraction form
    256,897.66/385,092.35 = 121,724.28/x
  3. Step 3: Cross multiply
    256,897.66x = 385,092.35 × 121,724.28
  4. Step 4: Simplify right side
    256,897.66x = 46,875,089,768.99
  5. Step 5: Solve for x
    x = 46,875,089,768.99/256,897.66
  6. Step 6: Final answer
    x = 182,466.00

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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.