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Finding the Fourth Proportional to 353,878.98, 488,401.15 and 208,725.81

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Solution

The fourth proportional to 353,878.98, 488,401.15 and 208,725.81 is: 288,070.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,878.98 : 488,401.15 = 208,725.81 : x
  2. Step 2: Convert to fraction form
    353,878.98/488,401.15 = 208,725.81/x
  3. Step 3: Cross multiply
    353,878.98x = 488,401.15 × 208,725.81
  4. Step 4: Simplify right side
    353,878.98x = 101,941,928,384.65
  5. Step 5: Solve for x
    x = 101,941,928,384.65/353,878.98
  6. Step 6: Final answer
    x = 288,070.03

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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.