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Finding the Fourth Proportional to 242,564.60, 363,846.90 and 147,697.40

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Solution

The fourth proportional to 242,564.60, 363,846.90 and 147,697.40 is: 221,546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,564.60 : 363,846.90 = 147,697.40 : x
  2. Step 2: Convert to fraction form
    242,564.60/363,846.90 = 147,697.40/x
  3. Step 3: Cross multiply
    242,564.60x = 363,846.90 × 147,697.40
  4. Step 4: Simplify right side
    242,564.60x = 53,739,241,128.06
  5. Step 5: Solve for x
    x = 53,739,241,128.06/242,564.60
  6. Step 6: Final answer
    x = 221,546.10

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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.