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Finding the Fourth Proportional to 377,452.50, 520,712.81 and 224,403.84

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Solution

The fourth proportional to 377,452.50, 520,712.81 and 224,403.84 is: 309,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,452.50 : 520,712.81 = 224,403.84 : x
  2. Step 2: Convert to fraction form
    377,452.50/520,712.81 = 224,403.84/x
  3. Step 3: Cross multiply
    377,452.50x = 520,712.81 × 224,403.84
  4. Step 4: Simplify right side
    377,452.50x = 116,849,952,979.17
  5. Step 5: Solve for x
    x = 116,849,952,979.17/377,452.50
  6. Step 6: Final answer
    x = 309,575.25

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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.