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Finding the Fourth Proportional to 389,842.74, 537,978.51 and 228,666.78

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Solution

The fourth proportional to 389,842.74, 537,978.51 and 228,666.78 is: 315,557.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,842.74 : 537,978.51 = 228,666.78 : x
  2. Step 2: Convert to fraction form
    389,842.74/537,978.51 = 228,666.78/x
  3. Step 3: Cross multiply
    389,842.74x = 537,978.51 × 228,666.78
  4. Step 4: Simplify right side
    389,842.74x = 123,017,813,590.90
  5. Step 5: Solve for x
    x = 123,017,813,590.90/389,842.74
  6. Step 6: Final answer
    x = 315,557.53

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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.