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Finding the Fourth Proportional to 442,871,620.40, 664,307,430.60 and 258,449,783.60

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Solution

The fourth proportional to 442,871,620.40, 664,307,430.60 and 258,449,783.60 is: 387,674,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,871,620.40 : 664,307,430.60 = 258,449,783.60 : x
  2. Step 2: Convert to fraction form
    442,871,620.40/664,307,430.60 = 258,449,783.60/x
  3. Step 3: Cross multiply
    442,871,620.40x = 664,307,430.60 × 258,449,783.60
  4. Step 4: Simplify right side
    442,871,620.40x = 171,690,111,682,442,016
  5. Step 5: Solve for x
    x = 171,690,111,682,442,016/442,871,620.40
  6. Step 6: Final answer
    x = 387,674,675.40

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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.