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Finding the Fourth Proportional to 506,821.42, 699,399.41 and 300,100.20

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Solution

The fourth proportional to 506,821.42, 699,399.41 and 300,100.20 is: 414,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,821.42 : 699,399.41 = 300,100.20 : x
  2. Step 2: Convert to fraction form
    506,821.42/699,399.41 = 300,100.20/x
  3. Step 3: Cross multiply
    506,821.42x = 699,399.41 × 300,100.20
  4. Step 4: Simplify right side
    506,821.42x = 209,889,900,877.47
  5. Step 5: Solve for x
    x = 209,889,900,877.47/506,821.42
  6. Step 6: Final answer
    x = 414,129.90

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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.