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Finding the Fourth Proportional to 509,406.78, 762,946.56 and 243,355.80

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Solution

The fourth proportional to 509,406.78, 762,946.56 and 243,355.80 is: 364,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,406.78 : 762,946.56 = 243,355.80 : x
  2. Step 2: Convert to fraction form
    509,406.78/762,946.56 = 243,355.80/x
  3. Step 3: Cross multiply
    509,406.78x = 762,946.56 × 243,355.80
  4. Step 4: Simplify right side
    509,406.78x = 185,667,470,466.05
  5. Step 5: Solve for x
    x = 185,667,470,466.05/509,406.78
  6. Step 6: Final answer
    x = 364,477.82

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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.