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Finding the Fourth Proportional to 290,702.67, 401,192.13 and 174,420.50

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Solution

The fourth proportional to 290,702.67, 401,192.13 and 174,420.50 is: 240,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,702.67 : 401,192.13 = 174,420.50 : x
  2. Step 2: Convert to fraction form
    290,702.67/401,192.13 = 174,420.50/x
  3. Step 3: Cross multiply
    290,702.67x = 401,192.13 × 174,420.50
  4. Step 4: Simplify right side
    290,702.67x = 69,976,129,904.70
  5. Step 5: Solve for x
    x = 69,976,129,904.70/290,702.67
  6. Step 6: Final answer
    x = 240,713.75

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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.