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Finding the Fourth Proportional to 524,782.80, 786,007.80 and 431,470.80

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Solution

The fourth proportional to 524,782.80, 786,007.80 and 431,470.80 is: 646,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,782.80 : 786,007.80 = 431,470.80 : x
  2. Step 2: Convert to fraction form
    524,782.80/786,007.80 = 431,470.80/x
  3. Step 3: Cross multiply
    524,782.80x = 786,007.80 × 431,470.80
  4. Step 4: Simplify right side
    524,782.80x = 339,139,414,272.24
  5. Step 5: Solve for x
    x = 339,139,414,272.24/524,782.80
  6. Step 6: Final answer
    x = 646,247.20

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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.