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Finding the Fourth Proportional to 399,707.16, 551,597.31 and 218,419.08

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Solution

The fourth proportional to 399,707.16, 551,597.31 and 218,419.08 is: 301,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,707.16 : 551,597.31 = 218,419.08 : x
  2. Step 2: Convert to fraction form
    399,707.16/551,597.31 = 218,419.08/x
  3. Step 3: Cross multiply
    399,707.16x = 551,597.31 × 218,419.08
  4. Step 4: Simplify right side
    399,707.16x = 120,479,376,980.68
  5. Step 5: Solve for x
    x = 120,479,376,980.68/399,707.16
  6. Step 6: Final answer
    x = 301,419.11

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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.