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Finding the Fourth Proportional to 357,332.54, 535,916.96 and 213,279

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Solution

The fourth proportional to 357,332.54, 535,916.96 and 213,279 is: 319,869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,332.54 : 535,916.96 = 213,279 : x
  2. Step 2: Convert to fraction form
    357,332.54/535,916.96 = 213,279/x
  3. Step 3: Cross multiply
    357,332.54x = 535,916.96 × 213,279
  4. Step 4: Simplify right side
    357,332.54x = 114,299,833,311.84
  5. Step 5: Solve for x
    x = 114,299,833,311.84/357,332.54
  6. Step 6: Final answer
    x = 319,869.65

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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.