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Finding the Fourth Proportional to 680,003.70, 1,019,713.95 and 342,914.10

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Solution

The fourth proportional to 680,003.70, 1,019,713.95 and 342,914.10 is: 514,224.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,003.70 : 1,019,713.95 = 342,914.10 : x
  2. Step 2: Convert to fraction form
    680,003.70/1,019,713.95 = 342,914.10/x
  3. Step 3: Cross multiply
    680,003.70x = 1,019,713.95 × 342,914.10
  4. Step 4: Simplify right side
    680,003.70x = 349,674,291,421.70
  5. Step 5: Solve for x
    x = 349,674,291,421.70/680,003.70
  6. Step 6: Final answer
    x = 514,224.10

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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.