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Finding the Fourth Proportional to 319,089.70, 478,116.15 and 200,548.90

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Solution

The fourth proportional to 319,089.70, 478,116.15 and 200,548.90 is: 300,497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,089.70 : 478,116.15 = 200,548.90 : x
  2. Step 2: Convert to fraction form
    319,089.70/478,116.15 = 200,548.90/x
  3. Step 3: Cross multiply
    319,089.70x = 478,116.15 × 200,548.90
  4. Step 4: Simplify right side
    319,089.70x = 95,885,667,954.74
  5. Step 5: Solve for x
    x = 95,885,667,954.74/319,089.70
  6. Step 6: Final answer
    x = 300,497.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.