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Finding the Fourth Proportional to 401,430.92, 602,146.40 and 135,169.16

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Solution

The fourth proportional to 401,430.92, 602,146.40 and 135,169.16 is: 202,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,430.92 : 602,146.40 = 135,169.16 : x
  2. Step 2: Convert to fraction form
    401,430.92/602,146.40 = 135,169.16/x
  3. Step 3: Cross multiply
    401,430.92x = 602,146.40 × 135,169.16
  4. Step 4: Simplify right side
    401,430.92x = 81,391,623,085.02
  5. Step 5: Solve for x
    x = 81,391,623,085.02/401,430.92
  6. Step 6: Final answer
    x = 202,753.75

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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.