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Finding the Fourth Proportional to 685,740.48, 946,328.82 and 413,755.74

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Solution

The fourth proportional to 685,740.48, 946,328.82 and 413,755.74 is: 570,987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,740.48 : 946,328.82 = 413,755.74 : x
  2. Step 2: Convert to fraction form
    685,740.48/946,328.82 = 413,755.74/x
  3. Step 3: Cross multiply
    685,740.48x = 946,328.82 × 413,755.74
  4. Step 4: Simplify right side
    685,740.48x = 391,548,981,202.43
  5. Step 5: Solve for x
    x = 391,548,981,202.43/685,740.48
  6. Step 6: Final answer
    x = 570,987.12

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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.