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Finding the Fourth Proportional to 30,496,291.40, 45,702,446.70 and 20,231,971.40

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Solution

The fourth proportional to 30,496,291.40, 45,702,446.70 and 20,231,971.40 is: 30,320,099.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496,291.40 : 45,702,446.70 = 20,231,971.40 : x
  2. Step 2: Convert to fraction form
    30,496,291.40/45,702,446.70 = 20,231,971.40/x
  3. Step 3: Cross multiply
    30,496,291.40x = 45,702,446.70 × 20,231,971.40
  4. Step 4: Simplify right side
    30,496,291.40x = 924,650,594,544,424.38
  5. Step 5: Solve for x
    x = 924,650,594,544,424.38/30,496,291.40
  6. Step 6: Final answer
    x = 30,320,099.66

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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.