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Finding the Fourth Proportional to 311,313.60, 466,970.40 and 185,342.40

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Solution

The fourth proportional to 311,313.60, 466,970.40 and 185,342.40 is: 278,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,313.60 : 466,970.40 = 185,342.40 : x
  2. Step 2: Convert to fraction form
    311,313.60/466,970.40 = 185,342.40/x
  3. Step 3: Cross multiply
    311,313.60x = 466,970.40 × 185,342.40
  4. Step 4: Simplify right side
    311,313.60x = 86,549,414,664.96
  5. Step 5: Solve for x
    x = 86,549,414,664.96/311,313.60
  6. Step 6: Final answer
    x = 278,013.60

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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.