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Finding the Fourth Proportional to 19,885,654.40, 29,828,498.34 and 9,508,431.90

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Solution

The fourth proportional to 19,885,654.40, 29,828,498.34 and 9,508,431.90 is: 14,262,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,885,654.40 : 29,828,498.34 = 9,508,431.90 : x
  2. Step 2: Convert to fraction form
    19,885,654.40/29,828,498.34 = 9,508,431.90/x
  3. Step 3: Cross multiply
    19,885,654.40x = 29,828,498.34 × 9,508,431.90
  4. Step 4: Simplify right side
    19,885,654.40x = 283,622,245,145,153.06
  5. Step 5: Solve for x
    x = 283,622,245,145,153.06/19,885,654.40
  6. Step 6: Final answer
    x = 14,262,655.85

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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.