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Finding the Fourth Proportional to 469,074.52, 647,355.23 and 285,384.76

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Solution

The fourth proportional to 469,074.52, 647,355.23 and 285,384.76 is: 393,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,074.52 : 647,355.23 = 285,384.76 : x
  2. Step 2: Convert to fraction form
    469,074.52/647,355.23 = 285,384.76/x
  3. Step 3: Cross multiply
    469,074.52x = 647,355.23 × 285,384.76
  4. Step 4: Simplify right side
    469,074.52x = 184,745,316,948.30
  5. Step 5: Solve for x
    x = 184,745,316,948.30/469,074.52
  6. Step 6: Final answer
    x = 393,850.68

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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.