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Finding the Fourth Proportional to 420,313.05, 630,422.84 and 150,430.27

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Solution

The fourth proportional to 420,313.05, 630,422.84 and 150,430.27 is: 225,628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,313.05 : 630,422.84 = 150,430.27 : x
  2. Step 2: Convert to fraction form
    420,313.05/630,422.84 = 150,430.27/x
  3. Step 3: Cross multiply
    420,313.05x = 630,422.84 × 150,430.27
  4. Step 4: Simplify right side
    420,313.05x = 94,834,676,835.39
  5. Step 5: Solve for x
    x = 94,834,676,835.39/420,313.05
  6. Step 6: Final answer
    x = 225,628.68

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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.