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Finding the Fourth Proportional to 275,803,315.70, 413,704,973.55 and 84,327,091.70

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Solution

The fourth proportional to 275,803,315.70, 413,704,973.55 and 84,327,091.70 is: 126,490,637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,803,315.70 : 413,704,973.55 = 84,327,091.70 : x
  2. Step 2: Convert to fraction form
    275,803,315.70/413,704,973.55 = 84,327,091.70/x
  3. Step 3: Cross multiply
    275,803,315.70x = 413,704,973.55 × 84,327,091.70
  4. Step 4: Simplify right side
    275,803,315.70x = 34,886,537,241,296,928
  5. Step 5: Solve for x
    x = 34,886,537,241,296,928/275,803,315.70
  6. Step 6: Final answer
    x = 126,490,637.55

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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.