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Finding the Fourth Proportional to 507,222.78, 699,988.55 and 280,868.28

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Solution

The fourth proportional to 507,222.78, 699,988.55 and 280,868.28 is: 387,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,222.78 : 699,988.55 = 280,868.28 : x
  2. Step 2: Convert to fraction form
    507,222.78/699,988.55 = 280,868.28/x
  3. Step 3: Cross multiply
    507,222.78x = 699,988.55 × 280,868.28
  4. Step 4: Simplify right side
    507,222.78x = 196,604,578,653.85
  5. Step 5: Solve for x
    x = 196,604,578,653.85/507,222.78
  6. Step 6: Final answer
    x = 387,609.92

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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.