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Finding the Fourth Proportional to 273,840.40, 410,803.80 and 86,870.80

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Solution

The fourth proportional to 273,840.40, 410,803.80 and 86,870.80 is: 130,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,840.40 : 410,803.80 = 86,870.80 : x
  2. Step 2: Convert to fraction form
    273,840.40/410,803.80 = 86,870.80/x
  3. Step 3: Cross multiply
    273,840.40x = 410,803.80 × 86,870.80
  4. Step 4: Simplify right side
    273,840.40x = 35,686,854,749.04
  5. Step 5: Solve for x
    x = 35,686,854,749.04/273,840.40
  6. Step 6: Final answer
    x = 130,319.90

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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.