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Finding the Fourth Proportional to 640,202.72, 883,434.24 and 353,719.68

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Solution

The fourth proportional to 640,202.72, 883,434.24 and 353,719.68 is: 488,108.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,202.72 : 883,434.24 = 353,719.68 : x
  2. Step 2: Convert to fraction form
    640,202.72/883,434.24 = 353,719.68/x
  3. Step 3: Cross multiply
    640,202.72x = 883,434.24 × 353,719.68
  4. Step 4: Simplify right side
    640,202.72x = 312,488,076,673.84
  5. Step 5: Solve for x
    x = 312,488,076,673.84/640,202.72
  6. Step 6: Final answer
    x = 488,108.01

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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.