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Finding the Fourth Proportional to 509,774.32, 764,612.07 and 154,791.46

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Solution

The fourth proportional to 509,774.32, 764,612.07 and 154,791.46 is: 232,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,774.32 : 764,612.07 = 154,791.46 : x
  2. Step 2: Convert to fraction form
    509,774.32/764,612.07 = 154,791.46/x
  3. Step 3: Cross multiply
    509,774.32x = 764,612.07 × 154,791.46
  4. Step 4: Simplify right side
    509,774.32x = 118,355,418,648.92
  5. Step 5: Solve for x
    x = 118,355,418,648.92/509,774.32
  6. Step 6: Final answer
    x = 232,172.19

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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.