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Finding the Fourth Proportional to 319,435.20, 478,768.80 and 132,350.40

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Solution

The fourth proportional to 319,435.20, 478,768.80 and 132,350.40 is: 198,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,435.20 : 478,768.80 = 132,350.40 : x
  2. Step 2: Convert to fraction form
    319,435.20/478,768.80 = 132,350.40/x
  3. Step 3: Cross multiply
    319,435.20x = 478,768.80 × 132,350.40
  4. Step 4: Simplify right side
    319,435.20x = 63,365,242,187.52
  5. Step 5: Solve for x
    x = 63,365,242,187.52/319,435.20
  6. Step 6: Final answer
    x = 198,366.50

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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.