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Finding the Fourth Proportional to 306,760.95, 423,404.71 and 177,678.63

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Solution

The fourth proportional to 306,760.95, 423,404.71 and 177,678.63 is: 245,239.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,760.95 : 423,404.71 = 177,678.63 : x
  2. Step 2: Convert to fraction form
    306,760.95/423,404.71 = 177,678.63/x
  3. Step 3: Cross multiply
    306,760.95x = 423,404.71 × 177,678.63
  4. Step 4: Simplify right side
    306,760.95x = 75,229,968,364.15
  5. Step 5: Solve for x
    x = 75,229,968,364.15/306,760.95
  6. Step 6: Final answer
    x = 245,239.72

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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.