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Finding the Fourth Proportional to 312,823.20, 437,427.60 and 312,823.20

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Solution

The fourth proportional to 312,823.20, 437,427.60 and 312,823.20 is: 437,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,823.20 : 437,427.60 = 312,823.20 : x
  2. Step 2: Convert to fraction form
    312,823.20/437,427.60 = 312,823.20/x
  3. Step 3: Cross multiply
    312,823.20x = 437,427.60 × 312,823.20
  4. Step 4: Simplify right side
    312,823.20x = 136,837,501,600.32
  5. Step 5: Solve for x
    x = 136,837,501,600.32/312,823.20
  6. Step 6: Final answer
    x = 437,427.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.