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Finding the Fourth Proportional to 390,848.78, 585,878.46 and 188,147.19

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Solution

The fourth proportional to 390,848.78, 585,878.46 and 188,147.19 is: 282,030.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,848.78 : 585,878.46 = 188,147.19 : x
  2. Step 2: Convert to fraction form
    390,848.78/585,878.46 = 188,147.19/x
  3. Step 3: Cross multiply
    390,848.78x = 585,878.46 × 188,147.19
  4. Step 4: Simplify right side
    390,848.78x = 110,231,385,930.53
  5. Step 5: Solve for x
    x = 110,231,385,930.53/390,848.78
  6. Step 6: Final answer
    x = 282,030.78

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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.