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Finding the Fourth Proportional to 471,945.70, 651,284 and 257,085.24

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Solution

The fourth proportional to 471,945.70, 651,284 and 257,085.24 is: 354,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,945.70 : 651,284 = 257,085.24 : x
  2. Step 2: Convert to fraction form
    471,945.70/651,284 = 257,085.24/x
  3. Step 3: Cross multiply
    471,945.70x = 651,284 × 257,085.24
  4. Step 4: Simplify right side
    471,945.70x = 167,435,503,448.16
  5. Step 5: Solve for x
    x = 167,435,503,448.16/471,945.70
  6. Step 6: Final answer
    x = 354,777.05

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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.