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Finding the Fourth Proportional to 458,899.51, 688,112.89 and 205,963.16

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Solution

The fourth proportional to 458,899.51, 688,112.89 and 205,963.16 is: 308,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,899.51 : 688,112.89 = 205,963.16 : x
  2. Step 2: Convert to fraction form
    458,899.51/688,112.89 = 205,963.16/x
  3. Step 3: Cross multiply
    458,899.51x = 688,112.89 × 205,963.16
  4. Step 4: Simplify right side
    458,899.51x = 141,725,901,305.66
  5. Step 5: Solve for x
    x = 141,725,901,305.66/458,899.51
  6. Step 6: Final answer
    x = 308,838.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.