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Finding the Fourth Proportional to 289,892.40, 434,968.06 and 112,413.30

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Solution

The fourth proportional to 289,892.40, 434,968.06 and 112,413.30 is: 168,670.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,892.40 : 434,968.06 = 112,413.30 : x
  2. Step 2: Convert to fraction form
    289,892.40/434,968.06 = 112,413.30/x
  3. Step 3: Cross multiply
    289,892.40x = 434,968.06 × 112,413.30
  4. Step 4: Simplify right side
    289,892.40x = 48,896,195,019.20
  5. Step 5: Solve for x
    x = 48,896,195,019.20/289,892.40
  6. Step 6: Final answer
    x = 168,670.15

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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.