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Finding the Fourth Proportional to 811,398.82, 1,119,644.22 and 448,765.06

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Solution

The fourth proportional to 811,398.82, 1,119,644.22 and 448,765.06 is: 619,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,398.82 : 1,119,644.22 = 448,765.06 : x
  2. Step 2: Convert to fraction form
    811,398.82/1,119,644.22 = 448,765.06/x
  3. Step 3: Cross multiply
    811,398.82x = 1,119,644.22 × 448,765.06
  4. Step 4: Simplify right side
    811,398.82x = 502,457,205,566.95
  5. Step 5: Solve for x
    x = 502,457,205,566.95/811,398.82
  6. Step 6: Final answer
    x = 619,248.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.