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Finding the Fourth Proportional to 272,802.40, 410,078.40 and 194,459.20

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Solution

The fourth proportional to 272,802.40, 410,078.40 and 194,459.20 is: 292,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,802.40 : 410,078.40 = 194,459.20 : x
  2. Step 2: Convert to fraction form
    272,802.40/410,078.40 = 194,459.20/x
  3. Step 3: Cross multiply
    272,802.40x = 410,078.40 × 194,459.20
  4. Step 4: Simplify right side
    272,802.40x = 79,743,517,601.28
  5. Step 5: Solve for x
    x = 79,743,517,601.28/272,802.40
  6. Step 6: Final answer
    x = 292,312.38

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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.