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Finding the Fourth Proportional to 458,897.27, 688,109.54 and 205,960.93

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Solution

The fourth proportional to 458,897.27, 688,109.54 and 205,960.93 is: 308,835.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,897.27 : 688,109.54 = 205,960.93 : x
  2. Step 2: Convert to fraction form
    458,897.27/688,109.54 = 205,960.93/x
  3. Step 3: Cross multiply
    458,897.27x = 688,109.54 × 205,960.93
  4. Step 4: Simplify right side
    458,897.27x = 141,723,677,359.73
  5. Step 5: Solve for x
    x = 141,723,677,359.73/458,897.27
  6. Step 6: Final answer
    x = 308,835.30

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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.