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Finding the Fourth Proportional to 401,499.56, 602,074.30 and 135,188.52

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Solution

The fourth proportional to 401,499.56, 602,074.30 and 135,188.52 is: 202,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,499.56 : 602,074.30 = 135,188.52 : x
  2. Step 2: Convert to fraction form
    401,499.56/602,074.30 = 135,188.52/x
  3. Step 3: Cross multiply
    401,499.56x = 602,074.30 × 135,188.52
  4. Step 4: Simplify right side
    401,499.56x = 81,393,533,547.04
  5. Step 5: Solve for x
    x = 81,393,533,547.04/401,499.56
  6. Step 6: Final answer
    x = 202,723.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.