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Finding the Fourth Proportional to 401,720.31, 602,564.67 and 135,474.93

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Solution

The fourth proportional to 401,720.31, 602,564.67 and 135,474.93 is: 203,207.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,720.31 : 602,564.67 = 135,474.93 : x
  2. Step 2: Convert to fraction form
    401,720.31/602,564.67 = 135,474.93/x
  3. Step 3: Cross multiply
    401,720.31x = 602,564.67 × 135,474.93
  4. Step 4: Simplify right side
    401,720.31x = 81,632,406,488.72
  5. Step 5: Solve for x
    x = 81,632,406,488.72/401,720.31
  6. Step 6: Final answer
    x = 203,207.07

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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.