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Finding the Fourth Proportional to 319,996, 480,071.76 and 98,380

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Solution

The fourth proportional to 319,996, 480,071.76 and 98,380 is: 147,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,996 : 480,071.76 = 98,380 : x
  2. Step 2: Convert to fraction form
    319,996/480,071.76 = 98,380/x
  3. Step 3: Cross multiply
    319,996x = 480,071.76 × 98,380
  4. Step 4: Simplify right side
    319,996x = 47,229,459,748.80
  5. Step 5: Solve for x
    x = 47,229,459,748.80/319,996
  6. Step 6: Final answer
    x = 147,593.91

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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.