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Finding the Fourth Proportional to 209,442.95, 314,060.59 and 74,486.78

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Solution

The fourth proportional to 209,442.95, 314,060.59 and 74,486.78 is: 111,693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,442.95 : 314,060.59 = 74,486.78 : x
  2. Step 2: Convert to fraction form
    209,442.95/314,060.59 = 74,486.78/x
  3. Step 3: Cross multiply
    209,442.95x = 314,060.59 × 74,486.78
  4. Step 4: Simplify right side
    209,442.95x = 23,393,361,355.54
  5. Step 5: Solve for x
    x = 23,393,361,355.54/209,442.95
  6. Step 6: Final answer
    x = 111,693.24

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1.5x scale

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.