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Finding the Fourth Proportional to 256,870.40, 385,298.40 and 116,628.80

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Solution

The fourth proportional to 256,870.40, 385,298.40 and 116,628.80 is: 174,939.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,870.40 : 385,298.40 = 116,628.80 : x
  2. Step 2: Convert to fraction form
    256,870.40/385,298.40 = 116,628.80/x
  3. Step 3: Cross multiply
    256,870.40x = 385,298.40 × 116,628.80
  4. Step 4: Simplify right side
    256,870.40x = 44,936,890,033.92
  5. Step 5: Solve for x
    x = 44,936,890,033.92/256,870.40
  6. Step 6: Final answer
    x = 174,939.93

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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.