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Finding the Fourth Proportional to 319,513.70, 478,687.35 and 194,708.90

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Solution

The fourth proportional to 319,513.70, 478,687.35 and 194,708.90 is: 291,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,513.70 : 478,687.35 = 194,708.90 : x
  2. Step 2: Convert to fraction form
    319,513.70/478,687.35 = 194,708.90/x
  3. Step 3: Cross multiply
    319,513.70x = 478,687.35 × 194,708.90
  4. Step 4: Simplify right side
    319,513.70x = 93,204,687,362.42
  5. Step 5: Solve for x
    x = 93,204,687,362.42/319,513.70
  6. Step 6: Final answer
    x = 291,707.95

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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.