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Finding the Fourth Proportional to 431,176, 646,273.53 and 262,324.13

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Solution

The fourth proportional to 431,176, 646,273.53 and 262,324.13 is: 393,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,176 : 646,273.53 = 262,324.13 : x
  2. Step 2: Convert to fraction form
    431,176/646,273.53 = 262,324.13/x
  3. Step 3: Cross multiply
    431,176x = 646,273.53 × 262,324.13
  4. Step 4: Simplify right side
    431,176x = 169,533,141,499.28
  5. Step 5: Solve for x
    x = 169,533,141,499.28/431,176
  6. Step 6: Final answer
    x = 393,187.80

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1.5x scale

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.