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Finding the Fourth Proportional to 298,014.39, 411,254 and 162,047.18

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Solution

The fourth proportional to 298,014.39, 411,254 and 162,047.18 is: 223,621.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,014.39 : 411,254 = 162,047.18 : x
  2. Step 2: Convert to fraction form
    298,014.39/411,254 = 162,047.18/x
  3. Step 3: Cross multiply
    298,014.39x = 411,254 × 162,047.18
  4. Step 4: Simplify right side
    298,014.39x = 66,642,550,963.72
  5. Step 5: Solve for x
    x = 66,642,550,963.72/298,014.39
  6. Step 6: Final answer
    x = 223,621.92

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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.