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Finding the Fourth Proportional to 260,798.40, 390,614.40 and 201,441.60

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Solution

The fourth proportional to 260,798.40, 390,614.40 and 201,441.60 is: 301,711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,798.40 : 390,614.40 = 201,441.60 : x
  2. Step 2: Convert to fraction form
    260,798.40/390,614.40 = 201,441.60/x
  3. Step 3: Cross multiply
    260,798.40x = 390,614.40 × 201,441.60
  4. Step 4: Simplify right side
    260,798.40x = 78,685,989,719.04
  5. Step 5: Solve for x
    x = 78,685,989,719.04/260,798.40
  6. Step 6: Final answer
    x = 301,711.93

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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.