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Finding the Fourth Proportional to 458,517.07, 686,806.02 and 289,950.40

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Solution

The fourth proportional to 458,517.07, 686,806.02 and 289,950.40 is: 434,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,517.07 : 686,806.02 = 289,950.40 : x
  2. Step 2: Convert to fraction form
    458,517.07/686,806.02 = 289,950.40/x
  3. Step 3: Cross multiply
    458,517.07x = 686,806.02 × 289,950.40
  4. Step 4: Simplify right side
    458,517.07x = 199,139,680,221.41
  5. Step 5: Solve for x
    x = 199,139,680,221.41/458,517.07
  6. Step 6: Final answer
    x = 434,312.47

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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.