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Finding the Fourth Proportional to 427,841.60, 641,762.40 and 112,330.40

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Solution

The fourth proportional to 427,841.60, 641,762.40 and 112,330.40 is: 168,495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,841.60 : 641,762.40 = 112,330.40 : x
  2. Step 2: Convert to fraction form
    427,841.60/641,762.40 = 112,330.40/x
  3. Step 3: Cross multiply
    427,841.60x = 641,762.40 × 112,330.40
  4. Step 4: Simplify right side
    427,841.60x = 72,089,427,096.96
  5. Step 5: Solve for x
    x = 72,089,427,096.96/427,841.60
  6. Step 6: Final answer
    x = 168,495.60

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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.