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Finding the Fourth Proportional to 256,051.60, 384,077.40 and 162,662.80

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Solution

The fourth proportional to 256,051.60, 384,077.40 and 162,662.80 is: 243,994.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,051.60 : 384,077.40 = 162,662.80 : x
  2. Step 2: Convert to fraction form
    256,051.60/384,077.40 = 162,662.80/x
  3. Step 3: Cross multiply
    256,051.60x = 384,077.40 × 162,662.80
  4. Step 4: Simplify right side
    256,051.60x = 62,475,105,300.72
  5. Step 5: Solve for x
    x = 62,475,105,300.72/256,051.60
  6. Step 6: Final answer
    x = 243,994.20

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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.