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Finding the Fourth Proportional to 308,314.08, 462,501.90 and 83,678.13

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Solution

The fourth proportional to 308,314.08, 462,501.90 and 83,678.13 is: 125,525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,314.08 : 462,501.90 = 83,678.13 : x
  2. Step 2: Convert to fraction form
    308,314.08/462,501.90 = 83,678.13/x
  3. Step 3: Cross multiply
    308,314.08x = 462,501.90 × 83,678.13
  4. Step 4: Simplify right side
    308,314.08x = 38,701,294,113.45
  5. Step 5: Solve for x
    x = 38,701,294,113.45/308,314.08
  6. Step 6: Final answer
    x = 125,525.55

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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.