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Finding the Fourth Proportional to 474,315.80, 709,745.70 and 349,899.80

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Solution

The fourth proportional to 474,315.80, 709,745.70 and 349,899.80 is: 523,574.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,315.80 : 709,745.70 = 349,899.80 : x
  2. Step 2: Convert to fraction form
    474,315.80/709,745.70 = 349,899.80/x
  3. Step 3: Cross multiply
    474,315.80x = 709,745.70 × 349,899.80
  4. Step 4: Simplify right side
    474,315.80x = 248,339,878,480.86
  5. Step 5: Solve for x
    x = 248,339,878,480.86/474,315.80
  6. Step 6: Final answer
    x = 523,574.97

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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.