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Finding the Fourth Proportional to 389,253.55, 537,183.14 and 225,897.47

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Solution

The fourth proportional to 389,253.55, 537,183.14 and 225,897.47 is: 311,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,253.55 : 537,183.14 = 225,897.47 : x
  2. Step 2: Convert to fraction form
    389,253.55/537,183.14 = 225,897.47/x
  3. Step 3: Cross multiply
    389,253.55x = 537,183.14 × 225,897.47
  4. Step 4: Simplify right side
    389,253.55x = 121,348,314,744.02
  5. Step 5: Solve for x
    x = 121,348,314,744.02/389,253.55
  6. Step 6: Final answer
    x = 311,746.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.