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Finding the Fourth Proportional to 823,618.80, 1,136,511 and 461,019.12

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Solution

The fourth proportional to 823,618.80, 1,136,511 and 461,019.12 is: 636,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,618.80 : 1,136,511 = 461,019.12 : x
  2. Step 2: Convert to fraction form
    823,618.80/1,136,511 = 461,019.12/x
  3. Step 3: Cross multiply
    823,618.80x = 1,136,511 × 461,019.12
  4. Step 4: Simplify right side
    823,618.80x = 523,953,301,090.32
  5. Step 5: Solve for x
    x = 523,953,301,090.32/823,618.80
  6. Step 6: Final answer
    x = 636,159.96

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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.