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Finding the Fourth Proportional to 471,352.65, 707,139.67 and 155,809.54

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Solution

The fourth proportional to 471,352.65, 707,139.67 and 155,809.54 is: 233,750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,352.65 : 707,139.67 = 155,809.54 : x
  2. Step 2: Convert to fraction form
    471,352.65/707,139.67 = 155,809.54/x
  3. Step 3: Cross multiply
    471,352.65x = 707,139.67 × 155,809.54
  4. Step 4: Simplify right side
    471,352.65x = 110,179,106,698.45
  5. Step 5: Solve for x
    x = 110,179,106,698.45/471,352.65
  6. Step 6: Final answer
    x = 233,750.90

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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.