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Finding the Fourth Proportional to 557,013.63, 768,463.56 and 315,240.78

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Solution

The fourth proportional to 557,013.63, 768,463.56 and 315,240.78 is: 434,910.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,013.63 : 768,463.56 = 315,240.78 : x
  2. Step 2: Convert to fraction form
    557,013.63/768,463.56 = 315,240.78/x
  3. Step 3: Cross multiply
    557,013.63x = 768,463.56 × 315,240.78
  4. Step 4: Simplify right side
    557,013.63x = 242,251,052,055.98
  5. Step 5: Solve for x
    x = 242,251,052,055.98/557,013.63
  6. Step 6: Final answer
    x = 434,910.46

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1.5x scale

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.