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Finding the Fourth Proportional to 259,212.08, 357,714.32 and 144,498

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Solution

The fourth proportional to 259,212.08, 357,714.32 and 144,498 is: 199,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,212.08 : 357,714.32 = 144,498 : x
  2. Step 2: Convert to fraction form
    259,212.08/357,714.32 = 144,498/x
  3. Step 3: Cross multiply
    259,212.08x = 357,714.32 × 144,498
  4. Step 4: Simplify right side
    259,212.08x = 51,689,003,811.36
  5. Step 5: Solve for x
    x = 51,689,003,811.36/259,212.08
  6. Step 6: Final answer
    x = 199,408.16

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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.