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Finding the Fourth Proportional to 319,223.82, 478,976.78 and 167,384.64

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Solution

The fourth proportional to 319,223.82, 478,976.78 and 167,384.64 is: 251,150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,223.82 : 478,976.78 = 167,384.64 : x
  2. Step 2: Convert to fraction form
    319,223.82/478,976.78 = 167,384.64/x
  3. Step 3: Cross multiply
    319,223.82x = 478,976.78 × 167,384.64
  4. Step 4: Simplify right side
    319,223.82x = 80,173,356,307.12
  5. Step 5: Solve for x
    x = 80,173,356,307.12/319,223.82
  6. Step 6: Final answer
    x = 251,150.92

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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.