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Finding the Fourth Proportional to 468,292.68, 645,805.23 and 310,850.07

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Solution

The fourth proportional to 468,292.68, 645,805.23 and 310,850.07 is: 428,681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,292.68 : 645,805.23 = 310,850.07 : x
  2. Step 2: Convert to fraction form
    468,292.68/645,805.23 = 310,850.07/x
  3. Step 3: Cross multiply
    468,292.68x = 645,805.23 × 310,850.07
  4. Step 4: Simplify right side
    468,292.68x = 200,748,600,951.87
  5. Step 5: Solve for x
    x = 200,748,600,951.87/468,292.68
  6. Step 6: Final answer
    x = 428,681.91

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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.