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Finding the Fourth Proportional to 258,718.80, 357,031.44 and 145,541.64

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Solution

The fourth proportional to 258,718.80, 357,031.44 and 145,541.64 is: 200,847.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,718.80 : 357,031.44 = 145,541.64 : x
  2. Step 2: Convert to fraction form
    258,718.80/357,031.44 = 145,541.64/x
  3. Step 3: Cross multiply
    258,718.80x = 357,031.44 × 145,541.64
  4. Step 4: Simplify right side
    258,718.80x = 51,962,941,309.16
  5. Step 5: Solve for x
    x = 51,962,941,309.16/258,718.80
  6. Step 6: Final answer
    x = 200,847.18

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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.