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Finding the Fourth Proportional to 290,695.61, 401,193.20 and 161,646.95

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Solution

The fourth proportional to 290,695.61, 401,193.20 and 161,646.95 is: 223,091.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,695.61 : 401,193.20 = 161,646.95 : x
  2. Step 2: Convert to fraction form
    290,695.61/401,193.20 = 161,646.95/x
  3. Step 3: Cross multiply
    290,695.61x = 401,193.20 × 161,646.95
  4. Step 4: Simplify right side
    290,695.61x = 64,851,657,140.74
  5. Step 5: Solve for x
    x = 64,851,657,140.74/290,695.61
  6. Step 6: Final answer
    x = 223,091.28

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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.