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Finding the Fourth Proportional to 461,969.70, 637,476.70 and 257,992.30

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Solution

The fourth proportional to 461,969.70, 637,476.70 and 257,992.30 is: 356,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,969.70 : 637,476.70 = 257,992.30 : x
  2. Step 2: Convert to fraction form
    461,969.70/637,476.70 = 257,992.30/x
  3. Step 3: Cross multiply
    461,969.70x = 637,476.70 × 257,992.30
  4. Step 4: Simplify right side
    461,969.70x = 164,464,080,029.41
  5. Step 5: Solve for x
    x = 164,464,080,029.41/461,969.70
  6. Step 6: Final answer
    x = 356,006.21

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1.5x scale

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.