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Finding the Fourth Proportional to 465,405.51, 642,214.26 and 261,410.25

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Solution

The fourth proportional to 465,405.51, 642,214.26 and 261,410.25 is: 360,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,405.51 : 642,214.26 = 261,410.25 : x
  2. Step 2: Convert to fraction form
    465,405.51/642,214.26 = 261,410.25/x
  3. Step 3: Cross multiply
    465,405.51x = 642,214.26 × 261,410.25
  4. Step 4: Simplify right side
    465,405.51x = 167,881,390,260.17
  5. Step 5: Solve for x
    x = 167,881,390,260.17/465,405.51
  6. Step 6: Final answer
    x = 360,720.68

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1.5x scale

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.