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Finding the Fourth Proportional to 305,784.40, 458,676.60 and 299,223.40

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Solution

The fourth proportional to 305,784.40, 458,676.60 and 299,223.40 is: 448,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,784.40 : 458,676.60 = 299,223.40 : x
  2. Step 2: Convert to fraction form
    305,784.40/458,676.60 = 299,223.40/x
  3. Step 3: Cross multiply
    305,784.40x = 458,676.60 × 299,223.40
  4. Step 4: Simplify right side
    305,784.40x = 137,246,771,752.44
  5. Step 5: Solve for x
    x = 137,246,771,752.44/305,784.40
  6. Step 6: Final answer
    x = 448,835.10

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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.