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Finding the Fourth Proportional to 290,655.55, 401,056.16 and 161,590.42

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Solution

The fourth proportional to 290,655.55, 401,056.16 and 161,590.42 is: 222,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,655.55 : 401,056.16 = 161,590.42 : x
  2. Step 2: Convert to fraction form
    290,655.55/401,056.16 = 161,590.42/x
  3. Step 3: Cross multiply
    290,655.55x = 401,056.16 × 161,590.42
  4. Step 4: Simplify right side
    290,655.55x = 64,806,833,337.99
  5. Step 5: Solve for x
    x = 64,806,833,337.99/290,655.55
  6. Step 6: Final answer
    x = 222,967.82

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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.