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Finding the Fourth Proportional to 260,030.90, 390,046.35 and 214,930.10

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Solution

The fourth proportional to 260,030.90, 390,046.35 and 214,930.10 is: 322,395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,030.90 : 390,046.35 = 214,930.10 : x
  2. Step 2: Convert to fraction form
    260,030.90/390,046.35 = 214,930.10/x
  3. Step 3: Cross multiply
    260,030.90x = 390,046.35 × 214,930.10
  4. Step 4: Simplify right side
    260,030.90x = 83,832,701,010.14
  5. Step 5: Solve for x
    x = 83,832,701,010.14/260,030.90
  6. Step 6: Final answer
    x = 322,395.15

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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.