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Finding the Fourth Proportional to 325,873,117.80, 488,809,676.70 and 289,593,412.20

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Solution

The fourth proportional to 325,873,117.80, 488,809,676.70 and 289,593,412.20 is: 434,390,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,873,117.80 : 488,809,676.70 = 289,593,412.20 : x
  2. Step 2: Convert to fraction form
    325,873,117.80/488,809,676.70 = 289,593,412.20/x
  3. Step 3: Cross multiply
    325,873,117.80x = 488,809,676.70 × 289,593,412.20
  4. Step 4: Simplify right side
    325,873,117.80x = 141,556,062,191,931,824
  5. Step 5: Solve for x
    x = 141,556,062,191,931,824/325,873,117.80
  6. Step 6: Final answer
    x = 434,390,118.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.