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Finding the Fourth Proportional to 377,470.47, 520,893.57 and 205,389.11

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Solution

The fourth proportional to 377,470.47, 520,893.57 and 205,389.11 is: 283,428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,470.47 : 520,893.57 = 205,389.11 : x
  2. Step 2: Convert to fraction form
    377,470.47/520,893.57 = 205,389.11/x
  3. Step 3: Cross multiply
    377,470.47x = 520,893.57 × 205,389.11
  4. Step 4: Simplify right side
    377,470.47x = 106,985,866,747.02
  5. Step 5: Solve for x
    x = 106,985,866,747.02/377,470.47
  6. Step 6: Final answer
    x = 283,428.44

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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.