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Finding the Fourth Proportional to 296,840.40, 409,640 and 174,308.87

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Solution

The fourth proportional to 296,840.40, 409,640 and 174,308.87 is: 240,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,840.40 : 409,640 = 174,308.87 : x
  2. Step 2: Convert to fraction form
    296,840.40/409,640 = 174,308.87/x
  3. Step 3: Cross multiply
    296,840.40x = 409,640 × 174,308.87
  4. Step 4: Simplify right side
    296,840.40x = 71,403,885,506.80
  5. Step 5: Solve for x
    x = 71,403,885,506.80/296,840.40
  6. Step 6: Final answer
    x = 240,546.39

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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.