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Finding the Fourth Proportional to 705,170, 1,057,055.16 and 330,522.32

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Solution

The fourth proportional to 705,170, 1,057,055.16 and 330,522.32 is: 495,455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,170 : 1,057,055.16 = 330,522.32 : x
  2. Step 2: Convert to fraction form
    705,170/1,057,055.16 = 330,522.32/x
  3. Step 3: Cross multiply
    705,170x = 1,057,055.16 × 330,522.32
  4. Step 4: Simplify right side
    705,170x = 349,380,323,851.17
  5. Step 5: Solve for x
    x = 349,380,323,851.17/705,170
  6. Step 6: Final answer
    x = 495,455.46

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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.