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Finding the Fourth Proportional to 298,014.80, 411,159.77 and 168,939.43

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Solution

The fourth proportional to 298,014.80, 411,159.77 and 168,939.43 is: 233,079.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,014.80 : 411,159.77 = 168,939.43 : x
  2. Step 2: Convert to fraction form
    298,014.80/411,159.77 = 168,939.43/x
  3. Step 3: Cross multiply
    298,014.80x = 411,159.77 × 168,939.43
  4. Step 4: Simplify right side
    298,014.80x = 69,461,095,943.66
  5. Step 5: Solve for x
    x = 69,461,095,943.66/298,014.80
  6. Step 6: Final answer
    x = 233,079.35

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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.