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Finding the Fourth Proportional to 319,389.40, 478,911.30 and 132,419.80

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Solution

The fourth proportional to 319,389.40, 478,911.30 and 132,419.80 is: 198,558.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,389.40 : 478,911.30 = 132,419.80 : x
  2. Step 2: Convert to fraction form
    319,389.40/478,911.30 = 132,419.80/x
  3. Step 3: Cross multiply
    319,389.40x = 478,911.30 × 132,419.80
  4. Step 4: Simplify right side
    319,389.40x = 63,417,338,563.74
  5. Step 5: Solve for x
    x = 63,417,338,563.74/319,389.40
  6. Step 6: Final answer
    x = 198,558.06

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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.