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Finding the Fourth Proportional to 509,409.07, 764,273.63 and 210,030.55

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Solution

The fourth proportional to 509,409.07, 764,273.63 and 210,030.55 is: 315,111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,409.07 : 764,273.63 = 210,030.55 : x
  2. Step 2: Convert to fraction form
    509,409.07/764,273.63 = 210,030.55/x
  3. Step 3: Cross multiply
    509,409.07x = 764,273.63 × 210,030.55
  4. Step 4: Simplify right side
    509,409.07x = 160,520,810,859.40
  5. Step 5: Solve for x
    x = 160,520,810,859.40/509,409.07
  6. Step 6: Final answer
    x = 315,111.80

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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.