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Finding the Fourth Proportional to 569,485.50, 785,906.40 and 314,853.09

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Solution

The fourth proportional to 569,485.50, 785,906.40 and 314,853.09 is: 434,506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,485.50 : 785,906.40 = 314,853.09 : x
  2. Step 2: Convert to fraction form
    569,485.50/785,906.40 = 314,853.09/x
  3. Step 3: Cross multiply
    569,485.50x = 785,906.40 × 314,853.09
  4. Step 4: Simplify right side
    569,485.50x = 247,445,058,490.78
  5. Step 5: Solve for x
    x = 247,445,058,490.78/569,485.50
  6. Step 6: Final answer
    x = 434,506.34

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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.