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Finding the Fourth Proportional to 289,293.86, 434,054.90 and 89,629.77

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Solution

The fourth proportional to 289,293.86, 434,054.90 and 89,629.77 is: 134,480.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,293.86 : 434,054.90 = 89,629.77 : x
  2. Step 2: Convert to fraction form
    289,293.86/434,054.90 = 89,629.77/x
  3. Step 3: Cross multiply
    289,293.86x = 434,054.90 × 89,629.77
  4. Step 4: Simplify right side
    289,293.86x = 38,904,242,706.15
  5. Step 5: Solve for x
    x = 38,904,242,706.15/289,293.86
  6. Step 6: Final answer
    x = 134,480.01

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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.