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Finding the Fourth Proportional to 342,836.80, 514,838.40 and 254,190.40

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Solution

The fourth proportional to 342,836.80, 514,838.40 and 254,190.40 is: 381,718.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,836.80 : 514,838.40 = 254,190.40 : x
  2. Step 2: Convert to fraction form
    342,836.80/514,838.40 = 254,190.40/x
  3. Step 3: Cross multiply
    342,836.80x = 514,838.40 × 254,190.40
  4. Step 4: Simplify right side
    342,836.80x = 130,866,978,831.36
  5. Step 5: Solve for x
    x = 130,866,978,831.36/342,836.80
  6. Step 6: Final answer
    x = 381,718.00

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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.