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Finding the Fourth Proportional to 288,659.46, 430,875.40 and 254,571.78

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Solution

The fourth proportional to 288,659.46, 430,875.40 and 254,571.78 is: 379,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,659.46 : 430,875.40 = 254,571.78 : x
  2. Step 2: Convert to fraction form
    288,659.46/430,875.40 = 254,571.78/x
  3. Step 3: Cross multiply
    288,659.46x = 430,875.40 × 254,571.78
  4. Step 4: Simplify right side
    288,659.46x = 109,688,717,536.21
  5. Step 5: Solve for x
    x = 109,688,717,536.21/288,659.46
  6. Step 6: Final answer
    x = 379,993.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.