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Finding the Fourth Proportional to 706,603,808.40, 975,204,783 and 405,306,669.84

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Solution

The fourth proportional to 706,603,808.40, 975,204,783 and 405,306,669.84 is: 559,375,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,603,808.40 : 975,204,783 = 405,306,669.84 : x
  2. Step 2: Convert to fraction form
    706,603,808.40/975,204,783 = 405,306,669.84/x
  3. Step 3: Cross multiply
    706,603,808.40x = 975,204,783 × 405,306,669.84
  4. Step 4: Simplify right side
    706,603,808.40x = 395,257,003,009,769,792
  5. Step 5: Solve for x
    x = 395,257,003,009,769,792/706,603,808.40
  6. Step 6: Final answer
    x = 559,375,704.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.