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Finding the Fourth Proportional to 489,461.60, 675,457.52 and 285,652.64

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Solution

The fourth proportional to 489,461.60, 675,457.52 and 285,652.64 is: 394,200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,461.60 : 675,457.52 = 285,652.64 : x
  2. Step 2: Convert to fraction form
    489,461.60/675,457.52 = 285,652.64/x
  3. Step 3: Cross multiply
    489,461.60x = 675,457.52 × 285,652.64
  4. Step 4: Simplify right side
    489,461.60x = 192,946,223,795.85
  5. Step 5: Solve for x
    x = 192,946,223,795.85/489,461.60
  6. Step 6: Final answer
    x = 394,200.94

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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.