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Finding the Fourth Proportional to 389,485.92, 537,531.48 and 228,347.76

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Solution

The fourth proportional to 389,485.92, 537,531.48 and 228,347.76 is: 315,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,485.92 : 537,531.48 = 228,347.76 : x
  2. Step 2: Convert to fraction form
    389,485.92/537,531.48 = 228,347.76/x
  3. Step 3: Cross multiply
    389,485.92x = 537,531.48 × 228,347.76
  4. Step 4: Simplify right side
    389,485.92x = 122,744,109,387.49
  5. Step 5: Solve for x
    x = 122,744,109,387.49/389,485.92
  6. Step 6: Final answer
    x = 315,143.89

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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.