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Finding the Fourth Proportional to 654,347.88, 980,821.98 and 298,829.16

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Solution

The fourth proportional to 654,347.88, 980,821.98 and 298,829.16 is: 447,924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,347.88 : 980,821.98 = 298,829.16 : x
  2. Step 2: Convert to fraction form
    654,347.88/980,821.98 = 298,829.16/x
  3. Step 3: Cross multiply
    654,347.88x = 980,821.98 × 298,829.16
  4. Step 4: Simplify right side
    654,347.88x = 293,098,208,392.94
  5. Step 5: Solve for x
    x = 293,098,208,392.94/654,347.88
  6. Step 6: Final answer
    x = 447,924.14

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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.