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Finding the Fourth Proportional to 340,892.16, 470,476.80 and 190,003.20

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Solution

The fourth proportional to 340,892.16, 470,476.80 and 190,003.20 is: 262,229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,892.16 : 470,476.80 = 190,003.20 : x
  2. Step 2: Convert to fraction form
    340,892.16/470,476.80 = 190,003.20/x
  3. Step 3: Cross multiply
    340,892.16x = 470,476.80 × 190,003.20
  4. Step 4: Simplify right side
    340,892.16x = 89,392,097,525.76
  5. Step 5: Solve for x
    x = 89,392,097,525.76/340,892.16
  6. Step 6: Final answer
    x = 262,229.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.