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Finding the Fourth Proportional to 545,963.81, 818,749.88 and 209,099.17

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Solution

The fourth proportional to 545,963.81, 818,749.88 and 209,099.17 is: 313,573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,963.81 : 818,749.88 = 209,099.17 : x
  2. Step 2: Convert to fraction form
    545,963.81/818,749.88 = 209,099.17/x
  3. Step 3: Cross multiply
    545,963.81x = 818,749.88 × 209,099.17
  4. Step 4: Simplify right side
    545,963.81x = 171,199,919,300.10
  5. Step 5: Solve for x
    x = 171,199,919,300.10/545,963.81
  6. Step 6: Final answer
    x = 313,573.75

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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.