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Finding the Fourth Proportional to 377,038.83, 520,309.92 and 280,673.61

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Solution

The fourth proportional to 377,038.83, 520,309.92 and 280,673.61 is: 387,326.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,038.83 : 520,309.92 = 280,673.61 : x
  2. Step 2: Convert to fraction form
    377,038.83/520,309.92 = 280,673.61/x
  3. Step 3: Cross multiply
    377,038.83x = 520,309.92 × 280,673.61
  4. Step 4: Simplify right side
    377,038.83x = 146,037,263,565.21
  5. Step 5: Solve for x
    x = 146,037,263,565.21/377,038.83
  6. Step 6: Final answer
    x = 387,326.85

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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.