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Finding the Fourth Proportional to 319,308, 478,962 and 129,871.43

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Solution

The fourth proportional to 319,308, 478,962 and 129,871.43 is: 194,807.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,308 : 478,962 = 129,871.43 : x
  2. Step 2: Convert to fraction form
    319,308/478,962 = 129,871.43/x
  3. Step 3: Cross multiply
    319,308x = 478,962 × 129,871.43
  4. Step 4: Simplify right side
    319,308x = 62,203,481,053.07
  5. Step 5: Solve for x
    x = 62,203,481,053.07/319,308
  6. Step 6: Final answer
    x = 194,807.15

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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.