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Finding the Fourth Proportional to 260,309.66, 390,018.87 and 142,064.03

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Solution

The fourth proportional to 260,309.66, 390,018.87 and 142,064.03 is: 212,852.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,309.66 : 390,018.87 = 142,064.03 : x
  2. Step 2: Convert to fraction form
    260,309.66/390,018.87 = 142,064.03/x
  3. Step 3: Cross multiply
    260,309.66x = 390,018.87 × 142,064.03
  4. Step 4: Simplify right side
    260,309.66x = 55,407,653,423.29
  5. Step 5: Solve for x
    x = 55,407,653,423.29/260,309.66
  6. Step 6: Final answer
    x = 212,852.86

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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.