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Finding the Fourth Proportional to 413,318.88, 619,400.90 and 223,369.74

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Solution

The fourth proportional to 413,318.88, 619,400.90 and 223,369.74 is: 334,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,318.88 : 619,400.90 = 223,369.74 : x
  2. Step 2: Convert to fraction form
    413,318.88/619,400.90 = 223,369.74/x
  3. Step 3: Cross multiply
    413,318.88x = 619,400.90 × 223,369.74
  4. Step 4: Simplify right side
    413,318.88x = 138,355,417,988.77
  5. Step 5: Solve for x
    x = 138,355,417,988.77/413,318.88
  6. Step 6: Final answer
    x = 334,742.56

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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.