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Finding the Fourth Proportional to 557,970.80, 770,083.74 and 340,305.75

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Solution

The fourth proportional to 557,970.80, 770,083.74 and 340,305.75 is: 469,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,970.80 : 770,083.74 = 340,305.75 : x
  2. Step 2: Convert to fraction form
    557,970.80/770,083.74 = 340,305.75/x
  3. Step 3: Cross multiply
    557,970.80x = 770,083.74 × 340,305.75
  4. Step 4: Simplify right side
    557,970.80x = 262,063,924,703.51
  5. Step 5: Solve for x
    x = 262,063,924,703.51/557,970.80
  6. Step 6: Final answer
    x = 469,673.19

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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.