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Finding the Fourth Proportional to 287,738, 397,073.88 and 160,421.36

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Solution

The fourth proportional to 287,738, 397,073.88 and 160,421.36 is: 221,378.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,738 : 397,073.88 = 160,421.36 : x
  2. Step 2: Convert to fraction form
    287,738/397,073.88 = 160,421.36/x
  3. Step 3: Cross multiply
    287,738x = 397,073.88 × 160,421.36
  4. Step 4: Simplify right side
    287,738x = 63,699,131,850.08
  5. Step 5: Solve for x
    x = 63,699,131,850.08/287,738
  6. Step 6: Final answer
    x = 221,378.93

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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.