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Finding the Fourth Proportional to 405,297.95, 559,021.10 and 284,466.20

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Solution

The fourth proportional to 405,297.95, 559,021.10 and 284,466.20 is: 392,359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,297.95 : 559,021.10 = 284,466.20 : x
  2. Step 2: Convert to fraction form
    405,297.95/559,021.10 = 284,466.20/x
  3. Step 3: Cross multiply
    405,297.95x = 559,021.10 × 284,466.20
  4. Step 4: Simplify right side
    405,297.95x = 159,022,603,819.38
  5. Step 5: Solve for x
    x = 159,022,603,819.38/405,297.95
  6. Step 6: Final answer
    x = 392,359.76

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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.