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Finding the Fourth Proportional to 472,091.50, 651,486.36 and 257,231.59

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Solution

The fourth proportional to 472,091.50, 651,486.36 and 257,231.59 is: 354,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,091.50 : 651,486.36 = 257,231.59 : x
  2. Step 2: Convert to fraction form
    472,091.50/651,486.36 = 257,231.59/x
  3. Step 3: Cross multiply
    472,091.50x = 651,486.36 × 257,231.59
  4. Step 4: Simplify right side
    472,091.50x = 167,582,872,246.11
  5. Step 5: Solve for x
    x = 167,582,872,246.11/472,091.50
  6. Step 6: Final answer
    x = 354,979.64

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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.