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Finding the Fourth Proportional to 523,090.17, 721,864.07 and 293,647.90

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Solution

The fourth proportional to 523,090.17, 721,864.07 and 293,647.90 is: 405,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,090.17 : 721,864.07 = 293,647.90 : x
  2. Step 2: Convert to fraction form
    523,090.17/721,864.07 = 293,647.90/x
  3. Step 3: Cross multiply
    523,090.17x = 721,864.07 × 293,647.90
  4. Step 4: Simplify right side
    523,090.17x = 211,973,870,045.61
  5. Step 5: Solve for x
    x = 211,973,870,045.61/523,090.17
  6. Step 6: Final answer
    x = 405,233.90

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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.