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Finding the Fourth Proportional to 489,412.63, 675,389.63 and 298,465.66

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Solution

The fourth proportional to 489,412.63, 675,389.63 and 298,465.66 is: 411,882.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,412.63 : 675,389.63 = 298,465.66 : x
  2. Step 2: Convert to fraction form
    489,412.63/675,389.63 = 298,465.66/x
  3. Step 3: Cross multiply
    489,412.63x = 675,389.63 × 298,465.66
  4. Step 4: Simplify right side
    489,412.63x = 201,580,606,805.83
  5. Step 5: Solve for x
    x = 201,580,606,805.83/489,412.63
  6. Step 6: Final answer
    x = 411,882.73

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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.