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Finding the Fourth Proportional to 319,214.40, 478,935.84 and 136,768.64

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Solution

The fourth proportional to 319,214.40, 478,935.84 and 136,768.64 is: 205,201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,214.40 : 478,935.84 = 136,768.64 : x
  2. Step 2: Convert to fraction form
    319,214.40/478,935.84 = 136,768.64/x
  3. Step 3: Cross multiply
    319,214.40x = 478,935.84 × 136,768.64
  4. Step 4: Simplify right side
    319,214.40x = 65,503,403,484.06
  5. Step 5: Solve for x
    x = 65,503,403,484.06/319,214.40
  6. Step 6: Final answer
    x = 205,201.91

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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.