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Finding the Fourth Proportional to 509,790.21, 764,635.80 and 154,807.30

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Solution

The fourth proportional to 509,790.21, 764,635.80 and 154,807.30 is: 232,195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,790.21 : 764,635.80 = 154,807.30 : x
  2. Step 2: Convert to fraction form
    509,790.21/764,635.80 = 154,807.30/x
  3. Step 3: Cross multiply
    509,790.21x = 764,635.80 × 154,807.30
  4. Step 4: Simplify right side
    509,790.21x = 118,371,203,681.34
  5. Step 5: Solve for x
    x = 118,371,203,681.34/509,790.21
  6. Step 6: Final answer
    x = 232,195.91

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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.