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Finding the Fourth Proportional to 509,859.18, 764,838.70 and 185,735.35

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Solution

The fourth proportional to 509,859.18, 764,838.70 and 185,735.35 is: 278,621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,859.18 : 764,838.70 = 185,735.35 : x
  2. Step 2: Convert to fraction form
    509,859.18/764,838.70 = 185,735.35/x
  3. Step 3: Cross multiply
    509,859.18x = 764,838.70 × 185,735.35
  4. Step 4: Simplify right side
    509,859.18x = 142,057,584,129.76
  5. Step 5: Solve for x
    x = 142,057,584,129.76/509,859.18
  6. Step 6: Final answer
    x = 278,621.21

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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.