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Finding the Fourth Proportional to 568,004.64, 783,849.06 and 313,355.76

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Solution

The fourth proportional to 568,004.64, 783,849.06 and 313,355.76 is: 432,432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,004.64 : 783,849.06 = 313,355.76 : x
  2. Step 2: Convert to fraction form
    568,004.64/783,849.06 = 313,355.76/x
  3. Step 3: Cross multiply
    568,004.64x = 783,849.06 × 313,355.76
  4. Step 4: Simplify right side
    568,004.64x = 245,623,617,921.59
  5. Step 5: Solve for x
    x = 245,623,617,921.59/568,004.64
  6. Step 6: Final answer
    x = 432,432.41

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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.