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Finding the Fourth Proportional to 666,645, 919,963.20 and 360,714.63

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Solution

The fourth proportional to 666,645, 919,963.20 and 360,714.63 is: 497,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,645 : 919,963.20 = 360,714.63 : x
  2. Step 2: Convert to fraction form
    666,645/919,963.20 = 360,714.63/x
  3. Step 3: Cross multiply
    666,645x = 919,963.20 × 360,714.63
  4. Step 4: Simplify right side
    666,645x = 331,844,185,301.62
  5. Step 5: Solve for x
    x = 331,844,185,301.62/666,645
  6. Step 6: Final answer
    x = 497,782.46

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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.