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Finding the Fourth Proportional to 500,707.52, 690,976.36 and 299,503.52

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Solution

The fourth proportional to 500,707.52, 690,976.36 and 299,503.52 is: 413,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,707.52 : 690,976.36 = 299,503.52 : x
  2. Step 2: Convert to fraction form
    500,707.52/690,976.36 = 299,503.52/x
  3. Step 3: Cross multiply
    500,707.52x = 690,976.36 × 299,503.52
  4. Step 4: Simplify right side
    500,707.52x = 206,949,852,056.79
  5. Step 5: Solve for x
    x = 206,949,852,056.79/500,707.52
  6. Step 6: Final answer
    x = 413,314.85

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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.