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Finding the Fourth Proportional to 259,387.34, 357,955.16 and 144,673.40

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Solution

The fourth proportional to 259,387.34, 357,955.16 and 144,673.40 is: 199,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,387.34 : 357,955.16 = 144,673.40 : x
  2. Step 2: Convert to fraction form
    259,387.34/357,955.16 = 144,673.40/x
  3. Step 3: Cross multiply
    259,387.34x = 357,955.16 × 144,673.40
  4. Step 4: Simplify right side
    259,387.34x = 51,786,590,216.26
  5. Step 5: Solve for x
    x = 51,786,590,216.26/259,387.34
  6. Step 6: Final answer
    x = 199,649.65

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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.