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Finding the Fourth Proportional to 492,551.70, 738,827.55 and 315,404.70

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Solution

The fourth proportional to 492,551.70, 738,827.55 and 315,404.70 is: 473,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,551.70 : 738,827.55 = 315,404.70 : x
  2. Step 2: Convert to fraction form
    492,551.70/738,827.55 = 315,404.70/x
  3. Step 3: Cross multiply
    492,551.70x = 738,827.55 × 315,404.70
  4. Step 4: Simplify right side
    492,551.70x = 233,029,681,759.49
  5. Step 5: Solve for x
    x = 233,029,681,759.49/492,551.70
  6. Step 6: Final answer
    x = 473,107.05

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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.