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Finding the Fourth Proportional to 648,530.40, 972,277.20 and 274,245.60

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Solution

The fourth proportional to 648,530.40, 972,277.20 and 274,245.60 is: 411,149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,530.40 : 972,277.20 = 274,245.60 : x
  2. Step 2: Convert to fraction form
    648,530.40/972,277.20 = 274,245.60/x
  3. Step 3: Cross multiply
    648,530.40x = 972,277.20 × 274,245.60
  4. Step 4: Simplify right side
    648,530.40x = 266,642,744,080.32
  5. Step 5: Solve for x
    x = 266,642,744,080.32/648,530.40
  6. Step 6: Final answer
    x = 411,149.18

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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.