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Finding the Fourth Proportional to 413,802.72, 619,842.94 and 399,527.28

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Solution

The fourth proportional to 413,802.72, 619,842.94 and 399,527.28 is: 598,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,802.72 : 619,842.94 = 399,527.28 : x
  2. Step 2: Convert to fraction form
    413,802.72/619,842.94 = 399,527.28/x
  3. Step 3: Cross multiply
    413,802.72x = 619,842.94 × 399,527.28
  4. Step 4: Simplify right side
    413,802.72x = 247,644,163,845.40
  5. Step 5: Solve for x
    x = 247,644,163,845.40/413,802.72
  6. Step 6: Final answer
    x = 598,459.49

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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.