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Finding the Fourth Proportional to 401,325.95, 602,051.20 and 135,065.69

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Solution

The fourth proportional to 401,325.95, 602,051.20 and 135,065.69 is: 202,619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,325.95 : 602,051.20 = 135,065.69 : x
  2. Step 2: Convert to fraction form
    401,325.95/602,051.20 = 135,065.69/x
  3. Step 3: Cross multiply
    401,325.95x = 602,051.20 × 135,065.69
  4. Step 4: Simplify right side
    401,325.95x = 81,316,459,653.10
  5. Step 5: Solve for x
    x = 81,316,459,653.10/401,325.95
  6. Step 6: Final answer
    x = 202,619.49

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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.