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Finding the Fourth Proportional to 456,817.72, 630,647.22 and 284,788.12

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Solution

The fourth proportional to 456,817.72, 630,647.22 and 284,788.12 is: 393,156.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,817.72 : 630,647.22 = 284,788.12 : x
  2. Step 2: Convert to fraction form
    456,817.72/630,647.22 = 284,788.12/x
  3. Step 3: Cross multiply
    456,817.72x = 630,647.22 × 284,788.12
  4. Step 4: Simplify right side
    456,817.72x = 179,600,836,167.03
  5. Step 5: Solve for x
    x = 179,600,836,167.03/456,817.72
  6. Step 6: Final answer
    x = 393,156.46

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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.