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Finding the Fourth Proportional to 256,913.60, 385,111.20 and 116,772.80

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Solution

The fourth proportional to 256,913.60, 385,111.20 and 116,772.80 is: 175,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,913.60 : 385,111.20 = 116,772.80 : x
  2. Step 2: Convert to fraction form
    256,913.60/385,111.20 = 116,772.80/x
  3. Step 3: Cross multiply
    256,913.60x = 385,111.20 × 116,772.80
  4. Step 4: Simplify right side
    256,913.60x = 44,970,513,135.36
  5. Step 5: Solve for x
    x = 44,970,513,135.36/256,913.60
  6. Step 6: Final answer
    x = 175,041.39

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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.