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Finding the Fourth Proportional to 524,854.20, 786,743.70 and 258,204.60

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Solution

The fourth proportional to 524,854.20, 786,743.70 and 258,204.60 is: 387,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,854.20 : 786,743.70 = 258,204.60 : x
  2. Step 2: Convert to fraction form
    524,854.20/786,743.70 = 258,204.60/x
  3. Step 3: Cross multiply
    524,854.20x = 786,743.70 × 258,204.60
  4. Step 4: Simplify right side
    524,854.20x = 203,140,842,361.02
  5. Step 5: Solve for x
    x = 203,140,842,361.02/524,854.20
  6. Step 6: Final answer
    x = 387,042.43

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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.