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Finding the Fourth Proportional to 289,271.80, 434,187.57 and 139,617.43

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Solution

The fourth proportional to 289,271.80, 434,187.57 and 139,617.43 is: 209,561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,271.80 : 434,187.57 = 139,617.43 : x
  2. Step 2: Convert to fraction form
    289,271.80/434,187.57 = 139,617.43/x
  3. Step 3: Cross multiply
    289,271.80x = 434,187.57 × 139,617.43
  4. Step 4: Simplify right side
    289,271.80x = 60,620,152,661.35
  5. Step 5: Solve for x
    x = 60,620,152,661.35/289,271.80
  6. Step 6: Final answer
    x = 209,561.22

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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.