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Finding the Fourth Proportional to 545,134.20, 816,923.70 and 401,861.40

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Solution

The fourth proportional to 545,134.20, 816,923.70 and 401,861.40 is: 602,218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,134.20 : 816,923.70 = 401,861.40 : x
  2. Step 2: Convert to fraction form
    545,134.20/816,923.70 = 401,861.40/x
  3. Step 3: Cross multiply
    545,134.20x = 816,923.70 × 401,861.40
  4. Step 4: Simplify right side
    545,134.20x = 328,290,101,775.18
  5. Step 5: Solve for x
    x = 328,290,101,775.18/545,134.20
  6. Step 6: Final answer
    x = 602,218.87

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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.