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Finding the Fourth Proportional to 685,947.76, 946,371 and 431,318.32

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Solution

The fourth proportional to 685,947.76, 946,371 and 431,318.32 is: 595,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,947.76 : 946,371 = 431,318.32 : x
  2. Step 2: Convert to fraction form
    685,947.76/946,371 = 431,318.32/x
  3. Step 3: Cross multiply
    685,947.76x = 946,371 × 431,318.32
  4. Step 4: Simplify right side
    685,947.76x = 408,187,149,816.72
  5. Step 5: Solve for x
    x = 408,187,149,816.72/685,947.76
  6. Step 6: Final answer
    x = 595,070.32

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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.