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Finding the Fourth Proportional to 420,400.80, 630,601.20 and 417,776.40

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Solution

The fourth proportional to 420,400.80, 630,601.20 and 417,776.40 is: 626,664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,400.80 : 630,601.20 = 417,776.40 : x
  2. Step 2: Convert to fraction form
    420,400.80/630,601.20 = 417,776.40/x
  3. Step 3: Cross multiply
    420,400.80x = 630,601.20 × 417,776.40
  4. Step 4: Simplify right side
    420,400.80x = 263,450,299,171.68
  5. Step 5: Solve for x
    x = 263,450,299,171.68/420,400.80
  6. Step 6: Final answer
    x = 626,664.60

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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.