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Finding the Fourth Proportional to 522,351.98, 783,749.40 and 285,417.87

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Solution

The fourth proportional to 522,351.98, 783,749.40 and 285,417.87 is: 428,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,351.98 : 783,749.40 = 285,417.87 : x
  2. Step 2: Convert to fraction form
    522,351.98/783,749.40 = 285,417.87/x
  3. Step 3: Cross multiply
    522,351.98x = 783,749.40 × 285,417.87
  4. Step 4: Simplify right side
    522,351.98x = 223,696,084,361.78
  5. Step 5: Solve for x
    x = 223,696,084,361.78/522,351.98
  6. Step 6: Final answer
    x = 428,247.80

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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.