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Finding the Fourth Proportional to 653,804.19, 980,762.72 and 180,489.60

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Solution

The fourth proportional to 653,804.19, 980,762.72 and 180,489.60 is: 270,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,804.19 : 980,762.72 = 180,489.60 : x
  2. Step 2: Convert to fraction form
    653,804.19/980,762.72 = 180,489.60/x
  3. Step 3: Cross multiply
    653,804.19x = 980,762.72 × 180,489.60
  4. Step 4: Simplify right side
    653,804.19x = 177,017,470,125.26
  5. Step 5: Solve for x
    x = 177,017,470,125.26/653,804.19
  6. Step 6: Final answer
    x = 270,749.98

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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.