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Finding the Fourth Proportional to 509,632.32, 764,484.48 and 154,675.20

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Solution

The fourth proportional to 509,632.32, 764,484.48 and 154,675.20 is: 232,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,632.32 : 764,484.48 = 154,675.20 : x
  2. Step 2: Convert to fraction form
    509,632.32/764,484.48 = 154,675.20/x
  3. Step 3: Cross multiply
    509,632.32x = 764,484.48 × 154,675.20
  4. Step 4: Simplify right side
    509,632.32x = 118,246,789,840.90
  5. Step 5: Solve for x
    x = 118,246,789,840.90/509,632.32
  6. Step 6: Final answer
    x = 232,023.73

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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.