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Finding the Fourth Proportional to 319,894.40, 480,014.40 and 132,924.80

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Solution

The fourth proportional to 319,894.40, 480,014.40 and 132,924.80 is: 199,459.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,894.40 : 480,014.40 = 132,924.80 : x
  2. Step 2: Convert to fraction form
    319,894.40/480,014.40 = 132,924.80/x
  3. Step 3: Cross multiply
    319,894.40x = 480,014.40 × 132,924.80
  4. Step 4: Simplify right side
    319,894.40x = 63,805,818,117.12
  5. Step 5: Solve for x
    x = 63,805,818,117.12/319,894.40
  6. Step 6: Final answer
    x = 199,459.00

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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.