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Finding the Fourth Proportional to 420,440.32, 630,285.36 and 154,138.64

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Solution

The fourth proportional to 420,440.32, 630,285.36 and 154,138.64 is: 231,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,440.32 : 630,285.36 = 154,138.64 : x
  2. Step 2: Convert to fraction form
    420,440.32/630,285.36 = 154,138.64/x
  3. Step 3: Cross multiply
    420,440.32x = 630,285.36 × 154,138.64
  4. Step 4: Simplify right side
    420,440.32x = 97,151,328,202.31
  5. Step 5: Solve for x
    x = 97,151,328,202.31/420,440.32
  6. Step 6: Final answer
    x = 231,070.44

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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.