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Finding the Fourth Proportional to 319,385.40, 478,905.30 and 132,415.80

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Solution

The fourth proportional to 319,385.40, 478,905.30 and 132,415.80 is: 198,552.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,385.40 : 478,905.30 = 132,415.80 : x
  2. Step 2: Convert to fraction form
    319,385.40/478,905.30 = 132,415.80/x
  3. Step 3: Cross multiply
    319,385.40x = 478,905.30 × 132,415.80
  4. Step 4: Simplify right side
    319,385.40x = 63,414,628,423.74
  5. Step 5: Solve for x
    x = 63,414,628,423.74/319,385.40
  6. Step 6: Final answer
    x = 198,552.06

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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.