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Finding the Fourth Proportional to 343,963.16, 474,643.12 and 193,031

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Solution

The fourth proportional to 343,963.16, 474,643.12 and 193,031 is: 266,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,963.16 : 474,643.12 = 193,031 : x
  2. Step 2: Convert to fraction form
    343,963.16/474,643.12 = 193,031/x
  3. Step 3: Cross multiply
    343,963.16x = 474,643.12 × 193,031
  4. Step 4: Simplify right side
    343,963.16x = 91,620,836,096.72
  5. Step 5: Solve for x
    x = 91,620,836,096.72/343,963.16
  6. Step 6: Final answer
    x = 266,368.17

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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.