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Finding the Fourth Proportional to 387,304.68, 581,016.06 and 197,661.48

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Solution

The fourth proportional to 387,304.68, 581,016.06 and 197,661.48 is: 296,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,304.68 : 581,016.06 = 197,661.48 : x
  2. Step 2: Convert to fraction form
    387,304.68/581,016.06 = 197,661.48/x
  3. Step 3: Cross multiply
    387,304.68x = 581,016.06 × 197,661.48
  4. Step 4: Simplify right side
    387,304.68x = 114,844,494,323.37
  5. Step 5: Solve for x
    x = 114,844,494,323.37/387,304.68
  6. Step 6: Final answer
    x = 296,522.35

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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.