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Finding the Fourth Proportional to 614,681.69, 921,823 and 204,240.77

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Solution

The fourth proportional to 614,681.69, 921,823 and 204,240.77 is: 306,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,681.69 : 921,823 = 204,240.77 : x
  2. Step 2: Convert to fraction form
    614,681.69/921,823 = 204,240.77/x
  3. Step 3: Cross multiply
    614,681.69x = 921,823 × 204,240.77
  4. Step 4: Simplify right side
    614,681.69x = 188,273,841,628.27
  5. Step 5: Solve for x
    x = 188,273,841,628.27/614,681.69
  6. Step 6: Final answer
    x = 306,294.86

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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.