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Finding the Fourth Proportional to 354,043.35, 488,582.01 and 210,809.43

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Solution

The fourth proportional to 354,043.35, 488,582.01 and 210,809.43 is: 290,918.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,043.35 : 488,582.01 = 210,809.43 : x
  2. Step 2: Convert to fraction form
    354,043.35/488,582.01 = 210,809.43/x
  3. Step 3: Cross multiply
    354,043.35x = 488,582.01 × 210,809.43
  4. Step 4: Simplify right side
    354,043.35x = 102,997,695,036.35
  5. Step 5: Solve for x
    x = 102,997,695,036.35/354,043.35
  6. Step 6: Final answer
    x = 290,918.32

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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.