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Finding the Fourth Proportional to 506,880.33, 699,419.58 and 307,866

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Solution

The fourth proportional to 506,880.33, 699,419.58 and 307,866 is: 424,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,880.33 : 699,419.58 = 307,866 : x
  2. Step 2: Convert to fraction form
    506,880.33/699,419.58 = 307,866/x
  3. Step 3: Cross multiply
    506,880.33x = 699,419.58 × 307,866
  4. Step 4: Simplify right side
    506,880.33x = 215,327,508,416.28
  5. Step 5: Solve for x
    x = 215,327,508,416.28/506,880.33
  6. Step 6: Final answer
    x = 424,809.36

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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.