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Finding the Fourth Proportional to 290,643.60, 401,098.32 and 163,316.64

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Solution

The fourth proportional to 290,643.60, 401,098.32 and 163,316.64 is: 225,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,643.60 : 401,098.32 = 163,316.64 : x
  2. Step 2: Convert to fraction form
    290,643.60/401,098.32 = 163,316.64/x
  3. Step 3: Cross multiply
    290,643.60x = 401,098.32 × 163,316.64
  4. Step 4: Simplify right side
    290,643.60x = 65,506,029,932.04
  5. Step 5: Solve for x
    x = 65,506,029,932.04/290,643.60
  6. Step 6: Final answer
    x = 225,382.67

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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.