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Finding the Fourth Proportional to 709,223.45, 978,755.80 and 403,327.76

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Solution

The fourth proportional to 709,223.45, 978,755.80 and 403,327.76 is: 556,607.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,223.45 : 978,755.80 = 403,327.76 : x
  2. Step 2: Convert to fraction form
    709,223.45/978,755.80 = 403,327.76/x
  3. Step 3: Cross multiply
    709,223.45x = 978,755.80 × 403,327.76
  4. Step 4: Simplify right side
    709,223.45x = 394,759,379,507.23
  5. Step 5: Solve for x
    x = 394,759,379,507.23/709,223.45
  6. Step 6: Final answer
    x = 556,607.91

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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.