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Finding the Fourth Proportional to 495,873.78, 684,305.76 and 294,669.78

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Solution

The fourth proportional to 495,873.78, 684,305.76 and 294,669.78 is: 406,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,873.78 : 684,305.76 = 294,669.78 : x
  2. Step 2: Convert to fraction form
    495,873.78/684,305.76 = 294,669.78/x
  3. Step 3: Cross multiply
    495,873.78x = 684,305.76 × 294,669.78
  4. Step 4: Simplify right side
    495,873.78x = 201,644,227,751.93
  5. Step 5: Solve for x
    x = 201,644,227,751.93/495,873.78
  6. Step 6: Final answer
    x = 406,644.26

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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.