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Finding the Fourth Proportional to 319,308.76, 478,965.66 and 141,768.28

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Solution

The fourth proportional to 319,308.76, 478,965.66 and 141,768.28 is: 212,653.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,308.76 : 478,965.66 = 141,768.28 : x
  2. Step 2: Convert to fraction form
    319,308.76/478,965.66 = 141,768.28/x
  3. Step 3: Cross multiply
    319,308.76x = 478,965.66 × 141,768.28
  4. Step 4: Simplify right side
    319,308.76x = 67,902,137,797.26
  5. Step 5: Solve for x
    x = 67,902,137,797.26/319,308.76
  6. Step 6: Final answer
    x = 212,653.54

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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.