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Finding the Fourth Proportional to 377,407.72, 520,826.76 and 205,326.64

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Solution

The fourth proportional to 377,407.72, 520,826.76 and 205,326.64 is: 283,353.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,407.72 : 520,826.76 = 205,326.64 : x
  2. Step 2: Convert to fraction form
    377,407.72/520,826.76 = 205,326.64/x
  3. Step 3: Cross multiply
    377,407.72x = 520,826.76 × 205,326.64
  4. Step 4: Simplify right side
    377,407.72x = 106,939,608,652.89
  5. Step 5: Solve for x
    x = 106,939,608,652.89/377,407.72
  6. Step 6: Final answer
    x = 283,353.00

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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.