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Finding the Fourth Proportional to 911,448.64, 1,367,468.21 and 438,170.91

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Solution

The fourth proportional to 911,448.64, 1,367,468.21 and 438,170.91 is: 657,398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,448.64 : 1,367,468.21 = 438,170.91 : x
  2. Step 2: Convert to fraction form
    911,448.64/1,367,468.21 = 438,170.91/x
  3. Step 3: Cross multiply
    911,448.64x = 1,367,468.21 × 438,170.91
  4. Step 4: Simplify right side
    911,448.64x = 599,184,789,971.77
  5. Step 5: Solve for x
    x = 599,184,789,971.77/911,448.64
  6. Step 6: Final answer
    x = 657,398.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.