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Finding the Fourth Proportional to 288,059.60, 431,214.60 and 256,566.80

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Solution

The fourth proportional to 288,059.60, 431,214.60 and 256,566.80 is: 384,071.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,059.60 : 431,214.60 = 256,566.80 : x
  2. Step 2: Convert to fraction form
    288,059.60/431,214.60 = 256,566.80/x
  3. Step 3: Cross multiply
    288,059.60x = 431,214.60 × 256,566.80
  4. Step 4: Simplify right side
    288,059.60x = 110,635,350,035.28
  5. Step 5: Solve for x
    x = 110,635,350,035.28/288,059.60
  6. Step 6: Final answer
    x = 384,071.04

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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.