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Finding the Fourth Proportional to 260,046.90, 390,070.35 and 214,946.10

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Solution

The fourth proportional to 260,046.90, 390,070.35 and 214,946.10 is: 322,419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,046.90 : 390,070.35 = 214,946.10 : x
  2. Step 2: Convert to fraction form
    260,046.90/390,070.35 = 214,946.10/x
  3. Step 3: Cross multiply
    260,046.90x = 390,070.35 × 214,946.10
  4. Step 4: Simplify right side
    260,046.90x = 83,844,100,458.14
  5. Step 5: Solve for x
    x = 83,844,100,458.14/260,046.90
  6. Step 6: Final answer
    x = 322,419.15

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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.