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Finding the Fourth Proportional to 357,278.64, 493,044.74 and 214,121.76

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Solution

The fourth proportional to 357,278.64, 493,044.74 and 214,121.76 is: 295,488.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,278.64 : 493,044.74 = 214,121.76 : x
  2. Step 2: Convert to fraction form
    357,278.64/493,044.74 = 214,121.76/x
  3. Step 3: Cross multiply
    357,278.64x = 493,044.74 × 214,121.76
  4. Step 4: Simplify right side
    357,278.64x = 105,571,607,487.54
  5. Step 5: Solve for x
    x = 105,571,607,487.54/357,278.64
  6. Step 6: Final answer
    x = 295,488.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.