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Finding the Fourth Proportional to 495,781.80, 684,178.80 and 269,427.24

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Solution

The fourth proportional to 495,781.80, 684,178.80 and 269,427.24 is: 371,809.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,781.80 : 684,178.80 = 269,427.24 : x
  2. Step 2: Convert to fraction form
    495,781.80/684,178.80 = 269,427.24/x
  3. Step 3: Cross multiply
    495,781.80x = 684,178.80 × 269,427.24
  4. Step 4: Simplify right side
    495,781.80x = 184,336,405,750.51
  5. Step 5: Solve for x
    x = 184,336,405,750.51/495,781.80
  6. Step 6: Final answer
    x = 371,809.55

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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.