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Finding the Fourth Proportional to 500,946, 691,307.91 and 299,742

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Solution

The fourth proportional to 500,946, 691,307.91 and 299,742 is: 413,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,946 : 691,307.91 = 299,742 : x
  2. Step 2: Convert to fraction form
    500,946/691,307.91 = 299,742/x
  3. Step 3: Cross multiply
    500,946x = 691,307.91 × 299,742
  4. Step 4: Simplify right side
    500,946x = 207,214,015,559.22
  5. Step 5: Solve for x
    x = 207,214,015,559.22/500,946
  6. Step 6: Final answer
    x = 413,645.41

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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.