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Finding the Fourth Proportional to 309,240, 426,751.20 and 175,129.92

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Solution

The fourth proportional to 309,240, 426,751.20 and 175,129.92 is: 241,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,240 : 426,751.20 = 175,129.92 : x
  2. Step 2: Convert to fraction form
    309,240/426,751.20 = 175,129.92/x
  3. Step 3: Cross multiply
    309,240x = 426,751.20 × 175,129.92
  4. Step 4: Simplify right side
    309,240x = 74,736,903,515.90
  5. Step 5: Solve for x
    x = 74,736,903,515.90/309,240
  6. Step 6: Final answer
    x = 241,679.29

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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.