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Finding the Fourth Proportional to 620,980.16, 856,451.40 and 416,969.60

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Solution

The fourth proportional to 620,980.16, 856,451.40 and 416,969.60 is: 575,081.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,980.16 : 856,451.40 = 416,969.60 : x
  2. Step 2: Convert to fraction form
    620,980.16/856,451.40 = 416,969.60/x
  3. Step 3: Cross multiply
    620,980.16x = 856,451.40 × 416,969.60
  4. Step 4: Simplify right side
    620,980.16x = 357,114,197,677.44
  5. Step 5: Solve for x
    x = 357,114,197,677.44/620,980.16
  6. Step 6: Final answer
    x = 575,081.49

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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.