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Finding the Fourth Proportional to 509,641.29, 764,466.53 and 154,655.30

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Solution

The fourth proportional to 509,641.29, 764,466.53 and 154,655.30 is: 231,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,641.29 : 764,466.53 = 154,655.30 : x
  2. Step 2: Convert to fraction form
    509,641.29/764,466.53 = 154,655.30/x
  3. Step 3: Cross multiply
    509,641.29x = 764,466.53 × 154,655.30
  4. Step 4: Simplify right side
    509,641.29x = 118,228,800,829.84
  5. Step 5: Solve for x
    x = 118,228,800,829.84/509,641.29
  6. Step 6: Final answer
    x = 231,984.34

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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.