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Finding the Fourth Proportional to 242,190.40, 363,285.60 and 212,641.60

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Solution

The fourth proportional to 242,190.40, 363,285.60 and 212,641.60 is: 318,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,190.40 : 363,285.60 = 212,641.60 : x
  2. Step 2: Convert to fraction form
    242,190.40/363,285.60 = 212,641.60/x
  3. Step 3: Cross multiply
    242,190.40x = 363,285.60 × 212,641.60
  4. Step 4: Simplify right side
    242,190.40x = 77,249,631,240.96
  5. Step 5: Solve for x
    x = 77,249,631,240.96/242,190.40
  6. Step 6: Final answer
    x = 318,962.40

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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.