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Finding the Fourth Proportional to 495,872.78, 684,304.38 and 294,668.78

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Solution

The fourth proportional to 495,872.78, 684,304.38 and 294,668.78 is: 406,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,872.78 : 684,304.38 = 294,668.78 : x
  2. Step 2: Convert to fraction form
    495,872.78/684,304.38 = 294,668.78/x
  3. Step 3: Cross multiply
    495,872.78x = 684,304.38 × 294,668.78
  4. Step 4: Simplify right side
    495,872.78x = 201,643,136,803.26
  5. Step 5: Solve for x
    x = 201,643,136,803.26/495,872.78
  6. Step 6: Final answer
    x = 406,642.88

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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.