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Finding the Fourth Proportional to 260,710, 359,779.80 and 141,478

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Solution

The fourth proportional to 260,710, 359,779.80 and 141,478 is: 195,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,710 : 359,779.80 = 141,478 : x
  2. Step 2: Convert to fraction form
    260,710/359,779.80 = 141,478/x
  3. Step 3: Cross multiply
    260,710x = 359,779.80 × 141,478
  4. Step 4: Simplify right side
    260,710x = 50,900,926,544.40
  5. Step 5: Solve for x
    x = 50,900,926,544.40/260,710
  6. Step 6: Final answer
    x = 195,239.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.