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Finding the Fourth Proportional to 568,113.45, 783,999.25 and 313,464.63

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Solution

The fourth proportional to 568,113.45, 783,999.25 and 313,464.63 is: 432,582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,113.45 : 783,999.25 = 313,464.63 : x
  2. Step 2: Convert to fraction form
    568,113.45/783,999.25 = 313,464.63/x
  3. Step 3: Cross multiply
    568,113.45x = 783,999.25 × 313,464.63
  4. Step 4: Simplify right side
    568,113.45x = 245,756,038,741.10
  5. Step 5: Solve for x
    x = 245,756,038,741.10/568,113.45
  6. Step 6: Final answer
    x = 432,582.68

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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.