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Finding the Fourth Proportional to 315,756.06, 435,738.27 and 172,513.02

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Solution

The fourth proportional to 315,756.06, 435,738.27 and 172,513.02 is: 238,065.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,756.06 : 435,738.27 = 172,513.02 : x
  2. Step 2: Convert to fraction form
    315,756.06/435,738.27 = 172,513.02/x
  3. Step 3: Cross multiply
    315,756.06x = 435,738.27 × 172,513.02
  4. Step 4: Simplify right side
    315,756.06x = 75,170,524,887.28
  5. Step 5: Solve for x
    x = 75,170,524,887.28/315,756.06
  6. Step 6: Final answer
    x = 238,065.19

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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.