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Finding the Fourth Proportional to 342,902, 473,095.42 and 222,135.88

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Solution

The fourth proportional to 342,902, 473,095.42 and 222,135.88 is: 306,476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,902 : 473,095.42 = 222,135.88 : x
  2. Step 2: Convert to fraction form
    342,902/473,095.42 = 222,135.88/x
  3. Step 3: Cross multiply
    342,902x = 473,095.42 × 222,135.88
  4. Step 4: Simplify right side
    342,902x = 105,091,467,445.67
  5. Step 5: Solve for x
    x = 105,091,467,445.67/342,902
  6. Step 6: Final answer
    x = 306,476.68

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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.