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Finding the Fourth Proportional to 413,801.72, 619,841.44 and 399,526.28

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Solution

The fourth proportional to 413,801.72, 619,841.44 and 399,526.28 is: 598,457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,801.72 : 619,841.44 = 399,526.28 : x
  2. Step 2: Convert to fraction form
    413,801.72/619,841.44 = 399,526.28/x
  3. Step 3: Cross multiply
    413,801.72x = 619,841.44 × 399,526.28
  4. Step 4: Simplify right side
    413,801.72x = 247,642,944,713.04
  5. Step 5: Solve for x
    x = 247,642,944,713.04/413,801.72
  6. Step 6: Final answer
    x = 598,457.99

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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.