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Finding the Fourth Proportional to 389,707, 537,796.02 and 219,937.48

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Solution

The fourth proportional to 389,707, 537,796.02 and 219,937.48 is: 303,513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,707 : 537,796.02 = 219,937.48 : x
  2. Step 2: Convert to fraction form
    389,707/537,796.02 = 219,937.48/x
  3. Step 3: Cross multiply
    389,707x = 537,796.02 × 219,937.48
  4. Step 4: Simplify right side
    389,707x = 118,281,501,392.83
  5. Step 5: Solve for x
    x = 118,281,501,392.83/389,707
  6. Step 6: Final answer
    x = 303,513.93

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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.