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Finding the Fourth Proportional to 345,038.40, 476,152.02 and 194,135.40

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Solution

The fourth proportional to 345,038.40, 476,152.02 and 194,135.40 is: 267,906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,038.40 : 476,152.02 = 194,135.40 : x
  2. Step 2: Convert to fraction form
    345,038.40/476,152.02 = 194,135.40/x
  3. Step 3: Cross multiply
    345,038.40x = 476,152.02 × 194,135.40
  4. Step 4: Simplify right side
    345,038.40x = 92,437,962,863.51
  5. Step 5: Solve for x
    x = 92,437,962,863.51/345,038.40
  6. Step 6: Final answer
    x = 267,906.31

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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.