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Finding the Fourth Proportional to 461,549.57, 636,970.41 and 257,640.21

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Solution

The fourth proportional to 461,549.57, 636,970.41 and 257,640.21 is: 355,561.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,549.57 : 636,970.41 = 257,640.21 : x
  2. Step 2: Convert to fraction form
    461,549.57/636,970.41 = 257,640.21/x
  3. Step 3: Cross multiply
    461,549.57x = 636,970.41 × 257,640.21
  4. Step 4: Simplify right side
    461,549.57x = 164,109,190,196.19
  5. Step 5: Solve for x
    x = 164,109,190,196.19/461,549.57
  6. Step 6: Final answer
    x = 355,561.36

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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.