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Finding the Fourth Proportional to 506,878.08, 699,416.48 and 307,863.75

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Solution

The fourth proportional to 506,878.08, 699,416.48 and 307,863.75 is: 424,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,878.08 : 699,416.48 = 307,863.75 : x
  2. Step 2: Convert to fraction form
    506,878.08/699,416.48 = 307,863.75/x
  3. Step 3: Cross multiply
    506,878.08x = 699,416.48 × 307,863.75
  4. Step 4: Simplify right side
    506,878.08x = 215,324,978,805.28
  5. Step 5: Solve for x
    x = 215,324,978,805.28/506,878.08
  6. Step 6: Final answer
    x = 424,806.25

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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.