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Finding the Fourth Proportional to 448,320, 672,512.64 and 128,467.20

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Solution

The fourth proportional to 448,320, 672,512.64 and 128,467.20 is: 192,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,320 : 672,512.64 = 128,467.20 : x
  2. Step 2: Convert to fraction form
    448,320/672,512.64 = 128,467.20/x
  3. Step 3: Cross multiply
    448,320x = 672,512.64 × 128,467.20
  4. Step 4: Simplify right side
    448,320x = 86,395,815,825.41
  5. Step 5: Solve for x
    x = 86,395,815,825.41/448,320
  6. Step 6: Final answer
    x = 192,710.15

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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.