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Finding the Fourth Proportional to 305,468.79, 457,607.17 and 199,967.91

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Solution

The fourth proportional to 305,468.79, 457,607.17 and 199,967.91 is: 299,561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,468.79 : 457,607.17 = 199,967.91 : x
  2. Step 2: Convert to fraction form
    305,468.79/457,607.17 = 199,967.91/x
  3. Step 3: Cross multiply
    305,468.79x = 457,607.17 × 199,967.91
  4. Step 4: Simplify right side
    305,468.79x = 91,506,747,919.85
  5. Step 5: Solve for x
    x = 91,506,747,919.85/305,468.79
  6. Step 6: Final answer
    x = 299,561.70

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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.