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Finding the Fourth Proportional to 309,406.56, 464,177.88 and 99,065.76

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Solution

The fourth proportional to 309,406.56, 464,177.88 and 99,065.76 is: 148,620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,406.56 : 464,177.88 = 99,065.76 : x
  2. Step 2: Convert to fraction form
    309,406.56/464,177.88 = 99,065.76/x
  3. Step 3: Cross multiply
    309,406.56x = 464,177.88 × 99,065.76
  4. Step 4: Simplify right side
    309,406.56x = 45,984,134,457.39
  5. Step 5: Solve for x
    x = 45,984,134,457.39/309,406.56
  6. Step 6: Final answer
    x = 148,620.43

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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.