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Finding the Fourth Proportional to 258,448.69, 387,673.12 and 106,643.55

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Solution

The fourth proportional to 258,448.69, 387,673.12 and 106,643.55 is: 159,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,448.69 : 387,673.12 = 106,643.55 : x
  2. Step 2: Convert to fraction form
    258,448.69/387,673.12 = 106,643.55/x
  3. Step 3: Cross multiply
    258,448.69x = 387,673.12 × 106,643.55
  4. Step 4: Simplify right side
    258,448.69x = 41,342,837,223.16
  5. Step 5: Solve for x
    x = 41,342,837,223.16/258,448.69
  6. Step 6: Final answer
    x = 159,965.36

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1.5x scale

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.