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Finding the Fourth Proportional to 522,351.08, 783,748.02 and 285,417

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Solution

The fourth proportional to 522,351.08, 783,748.02 and 285,417 is: 428,246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,351.08 : 783,748.02 = 285,417 : x
  2. Step 2: Convert to fraction form
    522,351.08/783,748.02 = 285,417/x
  3. Step 3: Cross multiply
    522,351.08x = 783,748.02 × 285,417
  4. Step 4: Simplify right side
    522,351.08x = 223,695,008,624.34
  5. Step 5: Solve for x
    x = 223,695,008,624.34/522,351.08
  6. Step 6: Final answer
    x = 428,246.47

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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.