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Finding the Fourth Proportional to 497,632, 686,822.16 and 293,670.40

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Solution

The fourth proportional to 497,632, 686,822.16 and 293,670.40 is: 405,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,632 : 686,822.16 = 293,670.40 : x
  2. Step 2: Convert to fraction form
    497,632/686,822.16 = 293,670.40/x
  3. Step 3: Cross multiply
    497,632x = 686,822.16 × 293,670.40
  4. Step 4: Simplify right side
    497,632x = 201,699,338,456.06
  5. Step 5: Solve for x
    x = 201,699,338,456.06/497,632
  6. Step 6: Final answer
    x = 405,318.26

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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.