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Finding the Fourth Proportional to 409,038.06, 564,183.90 and 354,491.55

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Solution

The fourth proportional to 409,038.06, 564,183.90 and 354,491.55 is: 488,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,038.06 : 564,183.90 = 354,491.55 : x
  2. Step 2: Convert to fraction form
    409,038.06/564,183.90 = 354,491.55/x
  3. Step 3: Cross multiply
    409,038.06x = 564,183.90 × 354,491.55
  4. Step 4: Simplify right side
    409,038.06x = 199,998,425,196.05
  5. Step 5: Solve for x
    x = 199,998,425,196.05/409,038.06
  6. Step 6: Final answer
    x = 488,948.20

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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.