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Finding the Fourth Proportional to 509,827.74, 764,663.85 and 285,049.50

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Solution

The fourth proportional to 509,827.74, 764,663.85 and 285,049.50 is: 427,530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,827.74 : 764,663.85 = 285,049.50 : x
  2. Step 2: Convert to fraction form
    509,827.74/764,663.85 = 285,049.50/x
  3. Step 3: Cross multiply
    509,827.74x = 764,663.85 × 285,049.50
  4. Step 4: Simplify right side
    509,827.74x = 217,967,048,110.58
  5. Step 5: Solve for x
    x = 217,967,048,110.58/509,827.74
  6. Step 6: Final answer
    x = 427,530.77

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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.