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Finding the Fourth Proportional to 342,309.40, 512,081.70 and 296,075.80

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Solution

The fourth proportional to 342,309.40, 512,081.70 and 296,075.80 is: 442,918.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,309.40 : 512,081.70 = 296,075.80 : x
  2. Step 2: Convert to fraction form
    342,309.40/512,081.70 = 296,075.80/x
  3. Step 3: Cross multiply
    342,309.40x = 512,081.70 × 296,075.80
  4. Step 4: Simplify right side
    342,309.40x = 151,614,998,992.86
  5. Step 5: Solve for x
    x = 151,614,998,992.86/342,309.40
  6. Step 6: Final answer
    x = 442,918.01

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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.