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Finding the Fourth Proportional to 461,673.64, 637,128.88 and 257,735.88

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Solution

The fourth proportional to 461,673.64, 637,128.88 and 257,735.88 is: 355,686.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,673.64 : 637,128.88 = 257,735.88 : x
  2. Step 2: Convert to fraction form
    461,673.64/637,128.88 = 257,735.88/x
  3. Step 3: Cross multiply
    461,673.64x = 637,128.88 × 257,735.88
  4. Step 4: Simplify right side
    461,673.64x = 164,210,972,560.21
  5. Step 5: Solve for x
    x = 164,210,972,560.21/461,673.64
  6. Step 6: Final answer
    x = 355,686.26

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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.