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Finding the Fourth Proportional to 464,221.87, 640,740.12 and 283,033.69

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Solution

The fourth proportional to 464,221.87, 640,740.12 and 283,033.69 is: 390,655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,221.87 : 640,740.12 = 283,033.69 : x
  2. Step 2: Convert to fraction form
    464,221.87/640,740.12 = 283,033.69/x
  3. Step 3: Cross multiply
    464,221.87x = 640,740.12 × 283,033.69
  4. Step 4: Simplify right side
    464,221.87x = 181,351,043,027.64
  5. Step 5: Solve for x
    x = 181,351,043,027.64/464,221.87
  6. Step 6: Final answer
    x = 390,655.97

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1.5x scale

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.