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Finding the Fourth Proportional to 355,153.45, 532,726.53 and 205,298.38

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Solution

The fourth proportional to 355,153.45, 532,726.53 and 205,298.38 is: 307,945.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,153.45 : 532,726.53 = 205,298.38 : x
  2. Step 2: Convert to fraction form
    355,153.45/532,726.53 = 205,298.38/x
  3. Step 3: Cross multiply
    355,153.45x = 532,726.53 × 205,298.38
  4. Step 4: Simplify right side
    355,153.45x = 109,367,893,592.02
  5. Step 5: Solve for x
    x = 109,367,893,592.02/355,153.45
  6. Step 6: Final answer
    x = 307,945.46

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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.