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Finding the Fourth Proportional to 309,186.74, 465,886.12 and 254,257.22

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Solution

The fourth proportional to 309,186.74, 465,886.12 and 254,257.22 is: 383,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,186.74 : 465,886.12 = 254,257.22 : x
  2. Step 2: Convert to fraction form
    309,186.74/465,886.12 = 254,257.22/x
  3. Step 3: Cross multiply
    309,186.74x = 465,886.12 × 254,257.22
  4. Step 4: Simplify right side
    309,186.74x = 118,454,909,707.79
  5. Step 5: Solve for x
    x = 118,454,909,707.79/309,186.74
  6. Step 6: Final answer
    x = 383,117.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.