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Finding the Fourth Proportional to 377,341.56, 520,732.80 and 205,259.52

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Solution

The fourth proportional to 377,341.56, 520,732.80 and 205,259.52 is: 283,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,341.56 : 520,732.80 = 205,259.52 : x
  2. Step 2: Convert to fraction form
    377,341.56/520,732.80 = 205,259.52/x
  3. Step 3: Cross multiply
    377,341.56x = 520,732.80 × 205,259.52
  4. Step 4: Simplify right side
    377,341.56x = 106,885,364,576.26
  5. Step 5: Solve for x
    x = 106,885,364,576.26/377,341.56
  6. Step 6: Final answer
    x = 283,258.92

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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.