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Finding the Fourth Proportional to 343,448.40, 514,809 and 115,527.05

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Solution

The fourth proportional to 343,448.40, 514,809 and 115,527.05 is: 173,168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,448.40 : 514,809 = 115,527.05 : x
  2. Step 2: Convert to fraction form
    343,448.40/514,809 = 115,527.05/x
  3. Step 3: Cross multiply
    343,448.40x = 514,809 × 115,527.05
  4. Step 4: Simplify right side
    343,448.40x = 59,474,362,509.41
  5. Step 5: Solve for x
    x = 59,474,362,509.41/343,448.40
  6. Step 6: Final answer
    x = 173,168.26

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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.