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Finding the Fourth Proportional to 471,962.36, 651,300.54 and 257,105

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Solution

The fourth proportional to 471,962.36, 651,300.54 and 257,105 is: 354,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,962.36 : 651,300.54 = 257,105 : x
  2. Step 2: Convert to fraction form
    471,962.36/651,300.54 = 257,105/x
  3. Step 3: Cross multiply
    471,962.36x = 651,300.54 × 257,105
  4. Step 4: Simplify right side
    471,962.36x = 167,452,625,336.70
  5. Step 5: Solve for x
    x = 167,452,625,336.70/471,962.36
  6. Step 6: Final answer
    x = 354,800.81

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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.