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Finding the Fourth Proportional to 428,395.30, 642,410.79 and 175,501.06

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Solution

The fourth proportional to 428,395.30, 642,410.79 and 175,501.06 is: 263,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,395.30 : 642,410.79 = 175,501.06 : x
  2. Step 2: Convert to fraction form
    428,395.30/642,410.79 = 175,501.06/x
  3. Step 3: Cross multiply
    428,395.30x = 642,410.79 × 175,501.06
  4. Step 4: Simplify right side
    428,395.30x = 112,743,774,600.44
  5. Step 5: Solve for x
    x = 112,743,774,600.44/428,395.30
  6. Step 6: Final answer
    x = 263,176.96

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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.