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Finding the Fourth Proportional to 495,803.28, 684,213.84 and 269,448.80

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Solution

The fourth proportional to 495,803.28, 684,213.84 and 269,448.80 is: 371,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,803.28 : 684,213.84 = 269,448.80 : x
  2. Step 2: Convert to fraction form
    495,803.28/684,213.84 = 269,448.80/x
  3. Step 3: Cross multiply
    495,803.28x = 684,213.84 × 269,448.80
  4. Step 4: Simplify right side
    495,803.28x = 184,360,598,131.39
  5. Step 5: Solve for x
    x = 184,360,598,131.39/495,803.28
  6. Step 6: Final answer
    x = 371,842.23

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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.