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Finding the Fourth Proportional to 377,303.59, 520,663.89 and 205,221.70

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Solution

The fourth proportional to 377,303.59, 520,663.89 and 205,221.70 is: 283,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,303.59 : 520,663.89 = 205,221.70 : x
  2. Step 2: Convert to fraction form
    377,303.59/520,663.89 = 205,221.70/x
  3. Step 3: Cross multiply
    377,303.59x = 520,663.89 × 205,221.70
  4. Step 4: Simplify right side
    377,303.59x = 106,851,528,634.41
  5. Step 5: Solve for x
    x = 106,851,528,634.41/377,303.59
  6. Step 6: Final answer
    x = 283,197.75

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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.