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Finding the Fourth Proportional to 354,054.04, 488,526.98 and 208,905.48

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Solution

The fourth proportional to 354,054.04, 488,526.98 and 208,905.48 is: 288,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,054.04 : 488,526.98 = 208,905.48 : x
  2. Step 2: Convert to fraction form
    354,054.04/488,526.98 = 208,905.48/x
  3. Step 3: Cross multiply
    354,054.04x = 488,526.98 × 208,905.48
  4. Step 4: Simplify right side
    354,054.04x = 102,055,963,249.85
  5. Step 5: Solve for x
    x = 102,055,963,249.85/354,054.04
  6. Step 6: Final answer
    x = 288,249.68

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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.