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Finding the Fourth Proportional to 305,369.94, 457,757.07 and 145,402.89

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Solution

The fourth proportional to 305,369.94, 457,757.07 and 145,402.89 is: 217,962.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,369.94 : 457,757.07 = 145,402.89 : x
  2. Step 2: Convert to fraction form
    305,369.94/457,757.07 = 145,402.89/x
  3. Step 3: Cross multiply
    305,369.94x = 457,757.07 × 145,402.89
  4. Step 4: Simplify right side
    305,369.94x = 66,559,200,895.93
  5. Step 5: Solve for x
    x = 66,559,200,895.93/305,369.94
  6. Step 6: Final answer
    x = 217,962.52

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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.