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Finding the Fourth Proportional to 256,394.10, 353,708.94 and 148,905.90

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Solution

The fourth proportional to 256,394.10, 353,708.94 and 148,905.90 is: 205,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,394.10 : 353,708.94 = 148,905.90 : x
  2. Step 2: Convert to fraction form
    256,394.10/353,708.94 = 148,905.90/x
  3. Step 3: Cross multiply
    256,394.10x = 353,708.94 × 148,905.90
  4. Step 4: Simplify right side
    256,394.10x = 52,669,348,048.75
  5. Step 5: Solve for x
    x = 52,669,348,048.75/256,394.10
  6. Step 6: Final answer
    x = 205,423.40

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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.