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Finding the Fourth Proportional to 319,213.40, 478,601.40 and 150,814.40

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Solution

The fourth proportional to 319,213.40, 478,601.40 and 150,814.40 is: 226,118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,213.40 : 478,601.40 = 150,814.40 : x
  2. Step 2: Convert to fraction form
    319,213.40/478,601.40 = 150,814.40/x
  3. Step 3: Cross multiply
    319,213.40x = 478,601.40 × 150,814.40
  4. Step 4: Simplify right side
    319,213.40x = 72,179,982,980.16
  5. Step 5: Solve for x
    x = 72,179,982,980.16/319,213.40
  6. Step 6: Final answer
    x = 226,118.27

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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.