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Finding the Fourth Proportional to 471,571.40, 650,748.62 and 256,707

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Solution

The fourth proportional to 471,571.40, 650,748.62 and 256,707 is: 354,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,571.40 : 650,748.62 = 256,707 : x
  2. Step 2: Convert to fraction form
    471,571.40/650,748.62 = 256,707/x
  3. Step 3: Cross multiply
    471,571.40x = 650,748.62 × 256,707
  4. Step 4: Simplify right side
    471,571.40x = 167,051,725,994.34
  5. Step 5: Solve for x
    x = 167,051,725,994.34/471,571.40
  6. Step 6: Final answer
    x = 354,244.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.