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Finding the Fourth Proportional to 307,299.84, 424,039.55 and 186,470.52

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Solution

The fourth proportional to 307,299.84, 424,039.55 and 186,470.52 is: 257,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,299.84 : 424,039.55 = 186,470.52 : x
  2. Step 2: Convert to fraction form
    307,299.84/424,039.55 = 186,470.52/x
  3. Step 3: Cross multiply
    307,299.84x = 424,039.55 × 186,470.52
  4. Step 4: Simplify right side
    307,299.84x = 79,070,874,456.71
  5. Step 5: Solve for x
    x = 79,070,874,456.71/307,299.84
  6. Step 6: Final answer
    x = 257,308.54

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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.