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Finding the Fourth Proportional to 666,106.49, 919,171.42 and 375,702.05

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Solution

The fourth proportional to 666,106.49, 919,171.42 and 375,702.05 is: 518,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,106.49 : 919,171.42 = 375,702.05 : x
  2. Step 2: Convert to fraction form
    666,106.49/919,171.42 = 375,702.05/x
  3. Step 3: Cross multiply
    666,106.49x = 919,171.42 × 375,702.05
  4. Step 4: Simplify right side
    666,106.49x = 345,334,584,040.41
  5. Step 5: Solve for x
    x = 345,334,584,040.41/666,106.49
  6. Step 6: Final answer
    x = 518,437.50

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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.