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Finding the Fourth Proportional to 258,720, 357,033.51 and 145,542.75

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Solution

The fourth proportional to 258,720, 357,033.51 and 145,542.75 is: 200,848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,720 : 357,033.51 = 145,542.75 : x
  2. Step 2: Convert to fraction form
    258,720/357,033.51 = 145,542.75/x
  3. Step 3: Cross multiply
    258,720x = 357,033.51 × 145,542.75
  4. Step 4: Simplify right side
    258,720x = 51,963,638,887.55
  5. Step 5: Solve for x
    x = 51,963,638,887.55/258,720
  6. Step 6: Final answer
    x = 200,848.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.