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Finding the Fourth Proportional to 421,848,187.90, 589,226,974.10 and 421,848,187.90

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Solution

The fourth proportional to 421,848,187.90, 589,226,974.10 and 421,848,187.90 is: 589,226,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,848,187.90 : 589,226,974.10 = 421,848,187.90 : x
  2. Step 2: Convert to fraction form
    421,848,187.90/589,226,974.10 = 421,848,187.90/x
  3. Step 3: Cross multiply
    421,848,187.90x = 589,226,974.10 × 421,848,187.90
  4. Step 4: Simplify right side
    421,848,187.90x = 248,564,331,285,885,216
  5. Step 5: Solve for x
    x = 248,564,331,285,885,216/421,848,187.90
  6. Step 6: Final answer
    x = 589,226,974.10

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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.