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Finding the Fourth Proportional to 390,412.60, 585,628.62 and 109,927.96

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Solution

The fourth proportional to 390,412.60, 585,628.62 and 109,927.96 is: 164,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,412.60 : 585,628.62 = 109,927.96 : x
  2. Step 2: Convert to fraction form
    390,412.60/585,628.62 = 109,927.96/x
  3. Step 3: Cross multiply
    390,412.60x = 585,628.62 × 109,927.96
  4. Step 4: Simplify right side
    390,412.60x = 64,376,959,514.22
  5. Step 5: Solve for x
    x = 64,376,959,514.22/390,412.60
  6. Step 6: Final answer
    x = 164,894.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.