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Finding the Fourth Proportional to 298,140.60, 447,729.30 and 158,172.60

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Solution

The fourth proportional to 298,140.60, 447,729.30 and 158,172.60 is: 237,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,140.60 : 447,729.30 = 158,172.60 : x
  2. Step 2: Convert to fraction form
    298,140.60/447,729.30 = 158,172.60/x
  3. Step 3: Cross multiply
    298,140.60x = 447,729.30 × 158,172.60
  4. Step 4: Simplify right side
    298,140.60x = 70,818,507,477.18
  5. Step 5: Solve for x
    x = 70,818,507,477.18/298,140.60
  6. Step 6: Final answer
    x = 237,533.93

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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.