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Finding the Fourth Proportional to 260,280, 359,186.40 and 141,048

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Solution

The fourth proportional to 260,280, 359,186.40 and 141,048 is: 194,646.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,280 : 359,186.40 = 141,048 : x
  2. Step 2: Convert to fraction form
    260,280/359,186.40 = 141,048/x
  3. Step 3: Cross multiply
    260,280x = 359,186.40 × 141,048
  4. Step 4: Simplify right side
    260,280x = 50,662,523,347.20
  5. Step 5: Solve for x
    x = 50,662,523,347.20/260,280
  6. Step 6: Final answer
    x = 194,646.24

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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.