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Finding the Fourth Proportional to 256,804.40, 385,206.60 and 151,569.20

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Solution

The fourth proportional to 256,804.40, 385,206.60 and 151,569.20 is: 227,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,804.40 : 385,206.60 = 151,569.20 : x
  2. Step 2: Convert to fraction form
    256,804.40/385,206.60 = 151,569.20/x
  3. Step 3: Cross multiply
    256,804.40x = 385,206.60 × 151,569.20
  4. Step 4: Simplify right side
    256,804.40x = 58,385,456,196.72
  5. Step 5: Solve for x
    x = 58,385,456,196.72/256,804.40
  6. Step 6: Final answer
    x = 227,353.80

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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.