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Finding the Fourth Proportional to 350,081.60, 524,200.80 and 256,078.40

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Solution

The fourth proportional to 350,081.60, 524,200.80 and 256,078.40 is: 383,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,081.60 : 524,200.80 = 256,078.40 : x
  2. Step 2: Convert to fraction form
    350,081.60/524,200.80 = 256,078.40/x
  3. Step 3: Cross multiply
    350,081.60x = 524,200.80 × 256,078.40
  4. Step 4: Simplify right side
    350,081.60x = 134,236,502,142.72
  5. Step 5: Solve for x
    x = 134,236,502,142.72/350,081.60
  6. Step 6: Final answer
    x = 383,443.47

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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.