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Finding the Fourth Proportional to 500,717.50, 690,990.15 and 299,513.50

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Solution

The fourth proportional to 500,717.50, 690,990.15 and 299,513.50 is: 413,328.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,717.50 : 690,990.15 = 299,513.50 : x
  2. Step 2: Convert to fraction form
    500,717.50/690,990.15 = 299,513.50/x
  3. Step 3: Cross multiply
    500,717.50x = 690,990.15 × 299,513.50
  4. Step 4: Simplify right side
    500,717.50x = 206,960,878,292.03
  5. Step 5: Solve for x
    x = 206,960,878,292.03/500,717.50
  6. Step 6: Final answer
    x = 413,328.63

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1.5x scale

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.