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Finding the Fourth Proportional to 290,802.64, 401,277.04 and 161,720.20

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Solution

The fourth proportional to 290,802.64, 401,277.04 and 161,720.20 is: 223,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,802.64 : 401,277.04 = 161,720.20 : x
  2. Step 2: Convert to fraction form
    290,802.64/401,277.04 = 161,720.20/x
  3. Step 3: Cross multiply
    290,802.64x = 401,277.04 × 161,720.20
  4. Step 4: Simplify right side
    290,802.64x = 64,894,603,164.21
  5. Step 5: Solve for x
    x = 64,894,603,164.21/290,802.64
  6. Step 6: Final answer
    x = 223,156.86

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1.5x scale

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.