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Finding the Fourth Proportional to 410,138.40, 614,746.80 and 210,381.60

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Solution

The fourth proportional to 410,138.40, 614,746.80 and 210,381.60 is: 315,336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,138.40 : 614,746.80 = 210,381.60 : x
  2. Step 2: Convert to fraction form
    410,138.40/614,746.80 = 210,381.60/x
  3. Step 3: Cross multiply
    410,138.40x = 614,746.80 × 210,381.60
  4. Step 4: Simplify right side
    410,138.40x = 129,331,415,378.88
  5. Step 5: Solve for x
    x = 129,331,415,378.88/410,138.40
  6. Step 6: Final answer
    x = 315,336.03

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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.