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Finding the Fourth Proportional to 498,618.69, 688,147.97 and 307,627.17

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Solution

The fourth proportional to 498,618.69, 688,147.97 and 307,627.17 is: 424,558.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,618.69 : 688,147.97 = 307,627.17 : x
  2. Step 2: Convert to fraction form
    498,618.69/688,147.97 = 307,627.17/x
  3. Step 3: Cross multiply
    498,618.69x = 688,147.97 × 307,627.17
  4. Step 4: Simplify right side
    498,618.69x = 211,693,011,014.21
  5. Step 5: Solve for x
    x = 211,693,011,014.21/498,618.69
  6. Step 6: Final answer
    x = 424,558.92

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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.