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Finding the Fourth Proportional to 557,917.16, 770,009.84 and 340,252.13

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Solution

The fourth proportional to 557,917.16, 770,009.84 and 340,252.13 is: 469,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,917.16 : 770,009.84 = 340,252.13 : x
  2. Step 2: Convert to fraction form
    557,917.16/770,009.84 = 340,252.13/x
  3. Step 3: Cross multiply
    557,917.16x = 770,009.84 × 340,252.13
  4. Step 4: Simplify right side
    557,917.16x = 261,997,482,629.65
  5. Step 5: Solve for x
    x = 261,997,482,629.65/557,917.16
  6. Step 6: Final answer
    x = 469,599.26

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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.