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Finding the Fourth Proportional to 377,095.90, 520,402.61 and 205,025.45

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Solution

The fourth proportional to 377,095.90, 520,402.61 and 205,025.45 is: 282,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,095.90 : 520,402.61 = 205,025.45 : x
  2. Step 2: Convert to fraction form
    377,095.90/520,402.61 = 205,025.45/x
  3. Step 3: Cross multiply
    377,095.90x = 520,402.61 × 205,025.45
  4. Step 4: Simplify right side
    377,095.90x = 106,695,775,669.28
  5. Step 5: Solve for x
    x = 106,695,775,669.28/377,095.90
  6. Step 6: Final answer
    x = 282,940.69

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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.