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Finding the Fourth Proportional to 495,333.44, 683,734.56 and 294,128

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Solution

The fourth proportional to 495,333.44, 683,734.56 and 294,128 is: 406,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,333.44 : 683,734.56 = 294,128 : x
  2. Step 2: Convert to fraction form
    495,333.44/683,734.56 = 294,128/x
  3. Step 3: Cross multiply
    495,333.44x = 683,734.56 × 294,128
  4. Step 4: Simplify right side
    495,333.44x = 201,105,478,663.68
  5. Step 5: Solve for x
    x = 201,105,478,663.68/495,333.44
  6. Step 6: Final answer
    x = 406,000.21

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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.