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Finding the Fourth Proportional to 275,442.40, 412,839.60 and 157,225.60

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Solution

The fourth proportional to 275,442.40, 412,839.60 and 157,225.60 is: 235,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,442.40 : 412,839.60 = 157,225.60 : x
  2. Step 2: Convert to fraction form
    275,442.40/412,839.60 = 157,225.60/x
  3. Step 3: Cross multiply
    275,442.40x = 412,839.60 × 157,225.60
  4. Step 4: Simplify right side
    275,442.40x = 64,908,953,813.76
  5. Step 5: Solve for x
    x = 64,908,953,813.76/275,442.40
  6. Step 6: Final answer
    x = 235,653.46

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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.