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Finding the Fourth Proportional to 312,980.72, 469,505.60 and 99,699.02

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Solution

The fourth proportional to 312,980.72, 469,505.60 and 99,699.02 is: 149,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,980.72 : 469,505.60 = 99,699.02 : x
  2. Step 2: Convert to fraction form
    312,980.72/469,505.60 = 99,699.02/x
  3. Step 3: Cross multiply
    312,980.72x = 469,505.60 × 99,699.02
  4. Step 4: Simplify right side
    312,980.72x = 46,809,245,358.49
  5. Step 5: Solve for x
    x = 46,809,245,358.49/312,980.72
  6. Step 6: Final answer
    x = 149,559.52

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1.5x scale

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.