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Finding the Fourth Proportional to 279,937,205.40, 419,905,808.10 and 98,184,383.40

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Solution

The fourth proportional to 279,937,205.40, 419,905,808.10 and 98,184,383.40 is: 147,276,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,937,205.40 : 419,905,808.10 = 98,184,383.40 : x
  2. Step 2: Convert to fraction form
    279,937,205.40/419,905,808.10 = 98,184,383.40/x
  3. Step 3: Cross multiply
    279,937,205.40x = 419,905,808.10 × 98,184,383.40
  4. Step 4: Simplify right side
    279,937,205.40x = 41,228,192,854,377,232
  5. Step 5: Solve for x
    x = 41,228,192,854,377,232/279,937,205.40
  6. Step 6: Final answer
    x = 147,276,575.10

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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.