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Finding the Fourth Proportional to 685,690.04, 946,259.22 and 413,705.39

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Solution

The fourth proportional to 685,690.04, 946,259.22 and 413,705.39 is: 570,917.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,690.04 : 946,259.22 = 413,705.39 : x
  2. Step 2: Convert to fraction form
    685,690.04/946,259.22 = 413,705.39/x
  3. Step 3: Cross multiply
    685,690.04x = 946,259.22 × 413,705.39
  4. Step 4: Simplify right side
    685,690.04x = 391,472,536,471.30
  5. Step 5: Solve for x
    x = 391,472,536,471.30/685,690.04
  6. Step 6: Final answer
    x = 570,917.63

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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.