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Finding the Fourth Proportional to 509,337.60, 764,006.40 and 135,360.60

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Solution

The fourth proportional to 509,337.60, 764,006.40 and 135,360.60 is: 203,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,337.60 : 764,006.40 = 135,360.60 : x
  2. Step 2: Convert to fraction form
    509,337.60/764,006.40 = 135,360.60/x
  3. Step 3: Cross multiply
    509,337.60x = 764,006.40 × 135,360.60
  4. Step 4: Simplify right side
    509,337.60x = 103,416,364,707.84
  5. Step 5: Solve for x
    x = 103,416,364,707.84/509,337.60
  6. Step 6: Final answer
    x = 203,040.90

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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.