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Finding the Fourth Proportional to 308,530.95, 462,830.45 and 98,119.68

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Solution

The fourth proportional to 308,530.95, 462,830.45 and 98,119.68 is: 147,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,530.95 : 462,830.45 = 98,119.68 : x
  2. Step 2: Convert to fraction form
    308,530.95/462,830.45 = 98,119.68/x
  3. Step 3: Cross multiply
    308,530.95x = 462,830.45 × 98,119.68
  4. Step 4: Simplify right side
    308,530.95x = 45,412,775,157.66
  5. Step 5: Solve for x
    x = 45,412,775,157.66/308,530.95
  6. Step 6: Final answer
    x = 147,190.34

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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.