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Finding the Fourth Proportional to 227,988, 314,623.44 and 127,386

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Solution

The fourth proportional to 227,988, 314,623.44 and 127,386 is: 175,792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,988 : 314,623.44 = 127,386 : x
  2. Step 2: Convert to fraction form
    227,988/314,623.44 = 127,386/x
  3. Step 3: Cross multiply
    227,988x = 314,623.44 × 127,386
  4. Step 4: Simplify right side
    227,988x = 40,078,621,527.84
  5. Step 5: Solve for x
    x = 40,078,621,527.84/227,988
  6. Step 6: Final answer
    x = 175,792.68

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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.