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Finding the Fourth Proportional to 666,284.94, 919,262.12 and 407,891.70

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Solution

The fourth proportional to 666,284.94, 919,262.12 and 407,891.70 is: 562,761.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,284.94 : 919,262.12 = 407,891.70 : x
  2. Step 2: Convert to fraction form
    666,284.94/919,262.12 = 407,891.70/x
  3. Step 3: Cross multiply
    666,284.94x = 919,262.12 × 407,891.70
  4. Step 4: Simplify right side
    666,284.94x = 374,959,386,832.95
  5. Step 5: Solve for x
    x = 374,959,386,832.95/666,284.94
  6. Step 6: Final answer
    x = 562,761.31

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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.