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Finding the Fourth Proportional to 459,707,989.60, 689,897,907.60 and 323,659,093.60

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Solution

The fourth proportional to 459,707,989.60, 689,897,907.60 and 323,659,093.60 is: 485,725,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,707,989.60 : 689,897,907.60 = 323,659,093.60 : x
  2. Step 2: Convert to fraction form
    459,707,989.60/689,897,907.60 = 323,659,093.60/x
  3. Step 3: Cross multiply
    459,707,989.60x = 689,897,907.60 × 323,659,093.60
  4. Step 4: Simplify right side
    459,707,989.60x = 223,291,731,450,352,576
  5. Step 5: Solve for x
    x = 223,291,731,450,352,576/459,707,989.60
  6. Step 6: Final answer
    x = 485,725,148.36

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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.