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Finding the Fourth Proportional to 421,848,212.40, 589,227,008.40 and 421,848,212.40

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Solution

The fourth proportional to 421,848,212.40, 589,227,008.40 and 421,848,212.40 is: 589,227,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,848,212.40 : 589,227,008.40 = 421,848,212.40 : x
  2. Step 2: Convert to fraction form
    421,848,212.40/589,227,008.40 = 421,848,212.40/x
  3. Step 3: Cross multiply
    421,848,212.40x = 589,227,008.40 × 421,848,212.40
  4. Step 4: Simplify right side
    421,848,212.40x = 248,564,360,191,339,776
  5. Step 5: Solve for x
    x = 248,564,360,191,339,776/421,848,212.40
  6. Step 6: Final answer
    x = 589,227,008.40

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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.