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Finding the Fourth Proportional to 402,180.80, 554,804.20 and 256,833.80

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Solution

The fourth proportional to 402,180.80, 554,804.20 and 256,833.80 is: 354,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,180.80 : 554,804.20 = 256,833.80 : x
  2. Step 2: Convert to fraction form
    402,180.80/554,804.20 = 256,833.80/x
  3. Step 3: Cross multiply
    402,180.80x = 554,804.20 × 256,833.80
  4. Step 4: Simplify right side
    402,180.80x = 142,492,470,266.17
  5. Step 5: Solve for x
    x = 142,492,470,266.17/402,180.80
  6. Step 6: Final answer
    x = 354,299.54

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1.5x scale

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.