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Finding the Fourth Proportional to 485,670.40, 728,505.60 and 456,121.60

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Solution

The fourth proportional to 485,670.40, 728,505.60 and 456,121.60 is: 684,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,670.40 : 728,505.60 = 456,121.60 : x
  2. Step 2: Convert to fraction form
    485,670.40/728,505.60 = 456,121.60/x
  3. Step 3: Cross multiply
    485,670.40x = 728,505.60 × 456,121.60
  4. Step 4: Simplify right side
    485,670.40x = 332,287,139,880.96
  5. Step 5: Solve for x
    x = 332,287,139,880.96/485,670.40
  6. Step 6: Final answer
    x = 684,182.40

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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.