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Finding the Fourth Proportional to 405,093.80, 607,640.70 and 310,615.40

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Solution

The fourth proportional to 405,093.80, 607,640.70 and 310,615.40 is: 465,923.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,093.80 : 607,640.70 = 310,615.40 : x
  2. Step 2: Convert to fraction form
    405,093.80/607,640.70 = 310,615.40/x
  3. Step 3: Cross multiply
    405,093.80x = 607,640.70 × 310,615.40
  4. Step 4: Simplify right side
    405,093.80x = 188,742,559,086.78
  5. Step 5: Solve for x
    x = 188,742,559,086.78/405,093.80
  6. Step 6: Final answer
    x = 465,923.10

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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.