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Finding the Fourth Proportional to 471,970.36, 651,311.56 and 257,113

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Solution

The fourth proportional to 471,970.36, 651,311.56 and 257,113 is: 354,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,970.36 : 651,311.56 = 257,113 : x
  2. Step 2: Convert to fraction form
    471,970.36/651,311.56 = 257,113/x
  3. Step 3: Cross multiply
    471,970.36x = 651,311.56 × 257,113
  4. Step 4: Simplify right side
    471,970.36x = 167,460,669,126.28
  5. Step 5: Solve for x
    x = 167,460,669,126.28/471,970.36
  6. Step 6: Final answer
    x = 354,811.83

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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.