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Finding the Fourth Proportional to 300,497.40, 450,746.10 and 100,824.30

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Solution

The fourth proportional to 300,497.40, 450,746.10 and 100,824.30 is: 151,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,497.40 : 450,746.10 = 100,824.30 : x
  2. Step 2: Convert to fraction form
    300,497.40/450,746.10 = 100,824.30/x
  3. Step 3: Cross multiply
    300,497.40x = 450,746.10 × 100,824.30
  4. Step 4: Simplify right side
    300,497.40x = 45,446,160,010.23
  5. Step 5: Solve for x
    x = 45,446,160,010.23/300,497.40
  6. Step 6: Final answer
    x = 151,236.45

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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.