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Finding the Fourth Proportional to 308,386.98, 462,346.01 and 213,364.56

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Solution

The fourth proportional to 308,386.98, 462,346.01 and 213,364.56 is: 319,884.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,386.98 : 462,346.01 = 213,364.56 : x
  2. Step 2: Convert to fraction form
    308,386.98/462,346.01 = 213,364.56/x
  3. Step 3: Cross multiply
    308,386.98x = 462,346.01 × 213,364.56
  4. Step 4: Simplify right side
    308,386.98x = 98,648,254,458.50
  5. Step 5: Solve for x
    x = 98,648,254,458.50/308,386.98
  6. Step 6: Final answer
    x = 319,884.63

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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.