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Finding the Fourth Proportional to 305,365.20, 458,047.80 and 256,376.40

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Solution

The fourth proportional to 305,365.20, 458,047.80 and 256,376.40 is: 384,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,365.20 : 458,047.80 = 256,376.40 : x
  2. Step 2: Convert to fraction form
    305,365.20/458,047.80 = 256,376.40/x
  3. Step 3: Cross multiply
    305,365.20x = 458,047.80 × 256,376.40
  4. Step 4: Simplify right side
    305,365.20x = 117,432,645,991.92
  5. Step 5: Solve for x
    x = 117,432,645,991.92/305,365.20
  6. Step 6: Final answer
    x = 384,564.60

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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.