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Finding the Fourth Proportional to 405,614.40, 608,421.60 and 343,406.40

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Solution

The fourth proportional to 405,614.40, 608,421.60 and 343,406.40 is: 515,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,614.40 : 608,421.60 = 343,406.40 : x
  2. Step 2: Convert to fraction form
    405,614.40/608,421.60 = 343,406.40/x
  3. Step 3: Cross multiply
    405,614.40x = 608,421.60 × 343,406.40
  4. Step 4: Simplify right side
    405,614.40x = 208,935,871,338.24
  5. Step 5: Solve for x
    x = 208,935,871,338.24/405,614.40
  6. Step 6: Final answer
    x = 515,109.60

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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.