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Finding the Fourth Proportional to 343,415.20, 515,114.70 and 94,097.20

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Solution

The fourth proportional to 343,415.20, 515,114.70 and 94,097.20 is: 141,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,415.20 : 515,114.70 = 94,097.20 : x
  2. Step 2: Convert to fraction form
    343,415.20/515,114.70 = 94,097.20/x
  3. Step 3: Cross multiply
    343,415.20x = 515,114.70 × 94,097.20
  4. Step 4: Simplify right side
    343,415.20x = 48,470,850,948.84
  5. Step 5: Solve for x
    x = 48,470,850,948.84/343,415.20
  6. Step 6: Final answer
    x = 141,143.58

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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.