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Finding the Fourth Proportional to 421,871,806.40, 632,807,709.60 and 419,184,420.80

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Solution

The fourth proportional to 421,871,806.40, 632,807,709.60 and 419,184,420.80 is: 628,776,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,871,806.40 : 632,807,709.60 = 419,184,420.80 : x
  2. Step 2: Convert to fraction form
    421,871,806.40/632,807,709.60 = 419,184,420.80/x
  3. Step 3: Cross multiply
    421,871,806.40x = 632,807,709.60 × 419,184,420.80
  4. Step 4: Simplify right side
    421,871,806.40x = 265,263,133,226,450,624
  5. Step 5: Solve for x
    x = 265,263,133,226,450,624/421,871,806.40
  6. Step 6: Final answer
    x = 628,776,631.20

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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.