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Finding the Fourth Proportional to 471,837, 651,125.34 and 256,980.84

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Solution

The fourth proportional to 471,837, 651,125.34 and 256,980.84 is: 354,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,837 : 651,125.34 = 256,980.84 : x
  2. Step 2: Convert to fraction form
    471,837/651,125.34 = 256,980.84/x
  3. Step 3: Cross multiply
    471,837x = 651,125.34 × 256,980.84
  4. Step 4: Simplify right side
    471,837x = 167,326,736,818.49
  5. Step 5: Solve for x
    x = 167,326,736,818.49/471,837
  6. Step 6: Final answer
    x = 354,628.27

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1.5x scale

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.