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Finding the Fourth Proportional to 495,771.78, 684,165.02 and 269,417.28

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Solution

The fourth proportional to 495,771.78, 684,165.02 and 269,417.28 is: 371,795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,771.78 : 684,165.02 = 269,417.28 : x
  2. Step 2: Convert to fraction form
    495,771.78/684,165.02 = 269,417.28/x
  3. Step 3: Cross multiply
    495,771.78x = 684,165.02 × 269,417.28
  4. Step 4: Simplify right side
    495,771.78x = 184,325,878,759.55
  5. Step 5: Solve for x
    x = 184,325,878,759.55/495,771.78
  6. Step 6: Final answer
    x = 371,795.83

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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.