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Finding the Fourth Proportional to 390,083.13, 585,188.73 and 120,211.32

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Solution

The fourth proportional to 390,083.13, 585,188.73 and 120,211.32 is: 180,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,083.13 : 585,188.73 = 120,211.32 : x
  2. Step 2: Convert to fraction form
    390,083.13/585,188.73 = 120,211.32/x
  3. Step 3: Cross multiply
    390,083.13x = 585,188.73 × 120,211.32
  4. Step 4: Simplify right side
    390,083.13x = 70,346,307,938.76
  5. Step 5: Solve for x
    x = 70,346,307,938.76/390,083.13
  6. Step 6: Final answer
    x = 180,336.71

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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.