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Finding the Fourth Proportional to 413,783.70, 619,814.43 and 399,508.26

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Solution

The fourth proportional to 413,783.70, 619,814.43 and 399,508.26 is: 598,430.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,783.70 : 619,814.43 = 399,508.26 : x
  2. Step 2: Convert to fraction form
    413,783.70/619,814.43 = 399,508.26/x
  3. Step 3: Cross multiply
    413,783.70x = 619,814.43 × 399,508.26
  4. Step 4: Simplify right side
    413,783.70x = 247,620,984,452.19
  5. Step 5: Solve for x
    x = 247,620,984,452.19/413,783.70
  6. Step 6: Final answer
    x = 598,430.98

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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.