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Finding the Fourth Proportional to 421,091,840.40, 631,679,969.70 and 144,706,653.60

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Solution

The fourth proportional to 421,091,840.40, 631,679,969.70 and 144,706,653.60 is: 217,074,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,091,840.40 : 631,679,969.70 = 144,706,653.60 : x
  2. Step 2: Convert to fraction form
    421,091,840.40/631,679,969.70 = 144,706,653.60/x
  3. Step 3: Cross multiply
    421,091,840.40x = 631,679,969.70 × 144,706,653.60
  4. Step 4: Simplify right side
    421,091,840.40x = 91,408,294,561,436,400
  5. Step 5: Solve for x
    x = 91,408,294,561,436,400/421,091,840.40
  6. Step 6: Final answer
    x = 217,074,485.40

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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.