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Finding the Fourth Proportional to 358,285.44, 537,520.50 and 257,200.68

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Solution

The fourth proportional to 358,285.44, 537,520.50 and 257,200.68 is: 385,867.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,285.44 : 537,520.50 = 257,200.68 : x
  2. Step 2: Convert to fraction form
    358,285.44/537,520.50 = 257,200.68/x
  3. Step 3: Cross multiply
    358,285.44x = 537,520.50 × 257,200.68
  4. Step 4: Simplify right side
    358,285.44x = 138,250,638,113.94
  5. Step 5: Solve for x
    x = 138,250,638,113.94/358,285.44
  6. Step 6: Final answer
    x = 385,867.31

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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.