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Finding the Fourth Proportional to 457,123.80, 684,519.30 and 363,811.80

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Solution

The fourth proportional to 457,123.80, 684,519.30 and 363,811.80 is: 544,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,123.80 : 684,519.30 = 363,811.80 : x
  2. Step 2: Convert to fraction form
    457,123.80/684,519.30 = 363,811.80/x
  3. Step 3: Cross multiply
    457,123.80x = 684,519.30 × 363,811.80
  4. Step 4: Simplify right side
    457,123.80x = 249,036,198,667.74
  5. Step 5: Solve for x
    x = 249,036,198,667.74/457,123.80
  6. Step 6: Final answer
    x = 544,789.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.