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Finding the Fourth Proportional to 426,466.64, 638,311.14 and 314,102.60

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Solution

The fourth proportional to 426,466.64, 638,311.14 and 314,102.60 is: 470,131.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,466.64 : 638,311.14 = 314,102.60 : x
  2. Step 2: Convert to fraction form
    426,466.64/638,311.14 = 314,102.60/x
  3. Step 3: Cross multiply
    426,466.64x = 638,311.14 × 314,102.60
  4. Step 4: Simplify right side
    426,466.64x = 200,495,188,682.96
  5. Step 5: Solve for x
    x = 200,495,188,682.96/426,466.64
  6. Step 6: Final answer
    x = 470,131.00

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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.