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Finding the Fourth Proportional to 342,900, 473,092.65 and 222,133.86

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Solution

The fourth proportional to 342,900, 473,092.65 and 222,133.86 is: 306,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,900 : 473,092.65 = 222,133.86 : x
  2. Step 2: Convert to fraction form
    342,900/473,092.65 = 222,133.86/x
  3. Step 3: Cross multiply
    342,900x = 473,092.65 × 222,133.86
  4. Step 4: Simplify right side
    342,900x = 105,089,896,482.13
  5. Step 5: Solve for x
    x = 105,089,896,482.13/342,900
  6. Step 6: Final answer
    x = 306,473.89

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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.