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Finding the Fourth Proportional to 158,478,498.30, 221,416,401.30 and 158,478,498.30

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Solution

The fourth proportional to 158,478,498.30, 221,416,401.30 and 158,478,498.30 is: 221,416,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,478,498.30 : 221,416,401.30 = 158,478,498.30 : x
  2. Step 2: Convert to fraction form
    158,478,498.30/221,416,401.30 = 158,478,498.30/x
  3. Step 3: Cross multiply
    158,478,498.30x = 221,416,401.30 × 158,478,498.30
  4. Step 4: Simplify right side
    158,478,498.30x = 35,089,738,777,014,172
  5. Step 5: Solve for x
    x = 35,089,738,777,014,172/158,478,498.30
  6. Step 6: Final answer
    x = 221,416,401.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.