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Finding the Fourth Proportional to 256,068.30, 353,374.56 and 142,890.96

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Solution

The fourth proportional to 256,068.30, 353,374.56 and 142,890.96 is: 197,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,068.30 : 353,374.56 = 142,890.96 : x
  2. Step 2: Convert to fraction form
    256,068.30/353,374.56 = 142,890.96/x
  3. Step 3: Cross multiply
    256,068.30x = 353,374.56 × 142,890.96
  4. Step 4: Simplify right side
    256,068.30x = 50,494,030,117.98
  5. Step 5: Solve for x
    x = 50,494,030,117.98/256,068.30
  6. Step 6: Final answer
    x = 197,189.70

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1.5x scale

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.