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Finding the Fourth Proportional to 709,201.51, 978,693.44 and 403,277.87

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Solution

The fourth proportional to 709,201.51, 978,693.44 and 403,277.87 is: 556,520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,201.51 : 978,693.44 = 403,277.87 : x
  2. Step 2: Convert to fraction form
    709,201.51/978,693.44 = 403,277.87/x
  3. Step 3: Cross multiply
    709,201.51x = 978,693.44 × 403,277.87
  4. Step 4: Simplify right side
    709,201.51x = 394,685,406,296.52
  5. Step 5: Solve for x
    x = 394,685,406,296.52/709,201.51
  6. Step 6: Final answer
    x = 556,520.82

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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.