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Finding the Fourth Proportional to 291,002.40, 401,579.28 and 163,678.08

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Solution

The fourth proportional to 291,002.40, 401,579.28 and 163,678.08 is: 225,873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,002.40 : 401,579.28 = 163,678.08 : x
  2. Step 2: Convert to fraction form
    291,002.40/401,579.28 = 163,678.08/x
  3. Step 3: Cross multiply
    291,002.40x = 401,579.28 × 163,678.08
  4. Step 4: Simplify right side
    291,002.40x = 65,729,725,518.18
  5. Step 5: Solve for x
    x = 65,729,725,518.18/291,002.40
  6. Step 6: Final answer
    x = 225,873.48

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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.