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Finding the Fourth Proportional to 380,754.66, 525,435.13 and 208,671.30

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Solution

The fourth proportional to 380,754.66, 525,435.13 and 208,671.30 is: 287,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,754.66 : 525,435.13 = 208,671.30 : x
  2. Step 2: Convert to fraction form
    380,754.66/525,435.13 = 208,671.30/x
  3. Step 3: Cross multiply
    380,754.66x = 525,435.13 × 208,671.30
  4. Step 4: Simplify right side
    380,754.66x = 109,643,231,642.77
  5. Step 5: Solve for x
    x = 109,643,231,642.77/380,754.66
  6. Step 6: Final answer
    x = 287,962.94

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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.