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Finding the Fourth Proportional to 312,609.44, 468,953.90 and 99,301.25

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Solution

The fourth proportional to 312,609.44, 468,953.90 and 99,301.25 is: 148,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,609.44 : 468,953.90 = 99,301.25 : x
  2. Step 2: Convert to fraction form
    312,609.44/468,953.90 = 99,301.25/x
  3. Step 3: Cross multiply
    312,609.44x = 468,953.90 × 99,301.25
  4. Step 4: Simplify right side
    312,609.44x = 46,567,709,510.63
  5. Step 5: Solve for x
    x = 46,567,709,510.63/312,609.44
  6. Step 6: Final answer
    x = 148,964.50

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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.