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Finding the Fourth Proportional to 500,946.50, 691,308.60 and 299,742.50

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Solution

The fourth proportional to 500,946.50, 691,308.60 and 299,742.50 is: 413,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,946.50 : 691,308.60 = 299,742.50 : x
  2. Step 2: Convert to fraction form
    500,946.50/691,308.60 = 299,742.50/x
  3. Step 3: Cross multiply
    500,946.50x = 691,308.60 × 299,742.50
  4. Step 4: Simplify right side
    500,946.50x = 207,214,568,035.50
  5. Step 5: Solve for x
    x = 207,214,568,035.50/500,946.50
  6. Step 6: Final answer
    x = 413,646.10

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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.