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Finding the Fourth Proportional to 409,000,466.40, 614,408,713.24 and 253,669,063.82

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Solution

The fourth proportional to 409,000,466.40, 614,408,713.24 and 253,669,063.82 is: 381,066,761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,000,466.40 : 614,408,713.24 = 253,669,063.82 : x
  2. Step 2: Convert to fraction form
    409,000,466.40/614,408,713.24 = 253,669,063.82/x
  3. Step 3: Cross multiply
    409,000,466.40x = 614,408,713.24 × 253,669,063.82
  4. Step 4: Simplify right side
    409,000,466.40x = 155,856,483,090,441,632
  5. Step 5: Solve for x
    x = 155,856,483,090,441,632/409,000,466.40
  6. Step 6: Final answer
    x = 381,066,761.27

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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.