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Finding the Fourth Proportional to 709,693.72, 979,342.86 and 403,741.24

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Solution

The fourth proportional to 709,693.72, 979,342.86 and 403,741.24 is: 557,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,693.72 : 979,342.86 = 403,741.24 : x
  2. Step 2: Convert to fraction form
    709,693.72/979,342.86 = 403,741.24/x
  3. Step 3: Cross multiply
    709,693.72x = 979,342.86 × 403,741.24
  4. Step 4: Simplify right side
    709,693.72x = 395,401,100,681.55
  5. Step 5: Solve for x
    x = 395,401,100,681.55/709,693.72
  6. Step 6: Final answer
    x = 557,143.30

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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.