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Finding the Fourth Proportional to 421,505.60, 630,722.40 and 310,913.60

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Solution

The fourth proportional to 421,505.60, 630,722.40 and 310,913.60 is: 465,237.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,505.60 : 630,722.40 = 310,913.60 : x
  2. Step 2: Convert to fraction form
    421,505.60/630,722.40 = 310,913.60/x
  3. Step 3: Cross multiply
    421,505.60x = 630,722.40 × 310,913.60
  4. Step 4: Simplify right side
    421,505.60x = 196,100,171,984.64
  5. Step 5: Solve for x
    x = 196,100,171,984.64/421,505.60
  6. Step 6: Final answer
    x = 465,237.41

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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.