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Finding the Fourth Proportional to 495,662.28, 684,072.32 and 294,458.28

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Solution

The fourth proportional to 495,662.28, 684,072.32 and 294,458.28 is: 406,387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,662.28 : 684,072.32 = 294,458.28 : x
  2. Step 2: Convert to fraction form
    495,662.28/684,072.32 = 294,458.28/x
  3. Step 3: Cross multiply
    495,662.28x = 684,072.32 × 294,458.28
  4. Step 4: Simplify right side
    495,662.28x = 201,430,758,742.81
  5. Step 5: Solve for x
    x = 201,430,758,742.81/495,662.28
  6. Step 6: Final answer
    x = 406,387.10

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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.