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Finding the Fourth Proportional to 464,221.60, 640,739.78 and 283,033.46

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Solution

The fourth proportional to 464,221.60, 640,739.78 and 283,033.46 is: 390,655.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,221.60 : 640,739.78 = 283,033.46 : x
  2. Step 2: Convert to fraction form
    464,221.60/640,739.78 = 283,033.46/x
  3. Step 3: Cross multiply
    464,221.60x = 640,739.78 × 283,033.46
  4. Step 4: Simplify right side
    464,221.60x = 181,350,796,893.04
  5. Step 5: Solve for x
    x = 181,350,796,893.04/464,221.60
  6. Step 6: Final answer
    x = 390,655.66

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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.