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Finding the Fourth Proportional to 500,913.99, 691,332.17 and 309,988.89

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Solution

The fourth proportional to 500,913.99, 691,332.17 and 309,988.89 is: 427,828.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,913.99 : 691,332.17 = 309,988.89 : x
  2. Step 2: Convert to fraction form
    500,913.99/691,332.17 = 309,988.89/x
  3. Step 3: Cross multiply
    500,913.99x = 691,332.17 × 309,988.89
  4. Step 4: Simplify right side
    500,913.99x = 214,305,290,449.65
  5. Step 5: Solve for x
    x = 214,305,290,449.65/500,913.99
  6. Step 6: Final answer
    x = 427,828.52

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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.