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Finding the Fourth Proportional to 489,406.68, 675,403.47 and 285,461.64

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Solution

The fourth proportional to 489,406.68, 675,403.47 and 285,461.64 is: 393,950.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,406.68 : 675,403.47 = 285,461.64 : x
  2. Step 2: Convert to fraction form
    489,406.68/675,403.47 = 285,461.64/x
  3. Step 3: Cross multiply
    489,406.68x = 675,403.47 × 285,461.64
  4. Step 4: Simplify right side
    489,406.68x = 192,801,782,207.89
  5. Step 5: Solve for x
    x = 192,801,782,207.89/489,406.68
  6. Step 6: Final answer
    x = 393,950.04

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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.