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Finding the Fourth Proportional to 506,019.40, 758,278.50 and 206,133.64

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Solution

The fourth proportional to 506,019.40, 758,278.50 and 206,133.64 is: 308,894.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,019.40 : 758,278.50 = 206,133.64 : x
  2. Step 2: Convert to fraction form
    506,019.40/758,278.50 = 206,133.64/x
  3. Step 3: Cross multiply
    506,019.40x = 758,278.50 × 206,133.64
  4. Step 4: Simplify right side
    506,019.40x = 156,306,707,338.74
  5. Step 5: Solve for x
    x = 156,306,707,338.74/506,019.40
  6. Step 6: Final answer
    x = 308,894.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.