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Finding the Fourth Proportional to 472,080.10, 651,462.06 and 257,221.66

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Solution

The fourth proportional to 472,080.10, 651,462.06 and 257,221.66 is: 354,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,080.10 : 651,462.06 = 257,221.66 : x
  2. Step 2: Convert to fraction form
    472,080.10/651,462.06 = 257,221.66/x
  3. Step 3: Cross multiply
    472,080.10x = 651,462.06 × 257,221.66
  4. Step 4: Simplify right side
    472,080.10x = 167,570,152,500.22
  5. Step 5: Solve for x
    x = 167,570,152,500.22/472,080.10
  6. Step 6: Final answer
    x = 354,961.27

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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.