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Finding the Fourth Proportional to 319,370.56, 478,917.36 and 169,578.40

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Solution

The fourth proportional to 319,370.56, 478,917.36 and 169,578.40 is: 254,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,370.56 : 478,917.36 = 169,578.40 : x
  2. Step 2: Convert to fraction form
    319,370.56/478,917.36 = 169,578.40/x
  3. Step 3: Cross multiply
    319,370.56x = 478,917.36 × 169,578.40
  4. Step 4: Simplify right side
    319,370.56x = 81,214,039,641.02
  5. Step 5: Solve for x
    x = 81,214,039,641.02/319,370.56
  6. Step 6: Final answer
    x = 254,294.07

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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.