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Finding the Fourth Proportional to 500,378.18, 690,690.43 and 304,144.07

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Solution

The fourth proportional to 500,378.18, 690,690.43 and 304,144.07 is: 419,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,378.18 : 690,690.43 = 304,144.07 : x
  2. Step 2: Convert to fraction form
    500,378.18/690,690.43 = 304,144.07/x
  3. Step 3: Cross multiply
    500,378.18x = 690,690.43 × 304,144.07
  4. Step 4: Simplify right side
    500,378.18x = 210,069,393,706.17
  5. Step 5: Solve for x
    x = 210,069,393,706.17/500,378.18
  6. Step 6: Final answer
    x = 419,821.26

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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.