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Finding the Fourth Proportional to 319,641.60, 478,828.80 and 280,243.20

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Solution

The fourth proportional to 319,641.60, 478,828.80 and 280,243.20 is: 419,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,641.60 : 478,828.80 = 280,243.20 : x
  2. Step 2: Convert to fraction form
    319,641.60/478,828.80 = 280,243.20/x
  3. Step 3: Cross multiply
    319,641.60x = 478,828.80 × 280,243.20
  4. Step 4: Simplify right side
    319,641.60x = 134,188,515,164.16
  5. Step 5: Solve for x
    x = 134,188,515,164.16/319,641.60
  6. Step 6: Final answer
    x = 419,809.30

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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.