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Finding the Fourth Proportional to 309,397.32, 464,096.34 and 84,759.68

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Solution

The fourth proportional to 309,397.32, 464,096.34 and 84,759.68 is: 127,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,397.32 : 464,096.34 = 84,759.68 : x
  2. Step 2: Convert to fraction form
    309,397.32/464,096.34 = 84,759.68/x
  3. Step 3: Cross multiply
    309,397.32x = 464,096.34 × 84,759.68
  4. Step 4: Simplify right side
    309,397.32x = 39,336,658,427.81
  5. Step 5: Solve for x
    x = 39,336,658,427.81/309,397.32
  6. Step 6: Final answer
    x = 127,139.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.