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Finding the Fourth Proportional to 345,140.40, 476,292.78 and 194,237.40

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Solution

The fourth proportional to 345,140.40, 476,292.78 and 194,237.40 is: 268,047.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,140.40 : 476,292.78 = 194,237.40 : x
  2. Step 2: Convert to fraction form
    345,140.40/476,292.78 = 194,237.40/x
  3. Step 3: Cross multiply
    345,140.40x = 476,292.78 × 194,237.40
  4. Step 4: Simplify right side
    345,140.40x = 92,513,871,225.97
  5. Step 5: Solve for x
    x = 92,513,871,225.97/345,140.40
  6. Step 6: Final answer
    x = 268,047.06

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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.