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Finding the Fourth Proportional to 503,356.20, 694,661.52 and 288,510.20

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Solution

The fourth proportional to 503,356.20, 694,661.52 and 288,510.20 is: 398,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,356.20 : 694,661.52 = 288,510.20 : x
  2. Step 2: Convert to fraction form
    503,356.20/694,661.52 = 288,510.20/x
  3. Step 3: Cross multiply
    503,356.20x = 694,661.52 × 288,510.20
  4. Step 4: Simplify right side
    503,356.20x = 200,416,934,067.50
  5. Step 5: Solve for x
    x = 200,416,934,067.50/503,356.20
  6. Step 6: Final answer
    x = 398,161.25

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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.