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Finding the Fourth Proportional to 390,403.60, 585,615.12 and 109,918.96

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Solution

The fourth proportional to 390,403.60, 585,615.12 and 109,918.96 is: 164,881.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,403.60 : 585,615.12 = 109,918.96 : x
  2. Step 2: Convert to fraction form
    390,403.60/585,615.12 = 109,918.96/x
  3. Step 3: Cross multiply
    390,403.60x = 585,615.12 × 109,918.96
  4. Step 4: Simplify right side
    390,403.60x = 64,370,204,950.68
  5. Step 5: Solve for x
    x = 64,370,204,950.68/390,403.60
  6. Step 6: Final answer
    x = 164,881.18

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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.