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Finding the Fourth Proportional to 299,541.40, 413,333.13 and 172,258

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Solution

The fourth proportional to 299,541.40, 413,333.13 and 172,258 is: 237,696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,541.40 : 413,333.13 = 172,258 : x
  2. Step 2: Convert to fraction form
    299,541.40/413,333.13 = 172,258/x
  3. Step 3: Cross multiply
    299,541.40x = 413,333.13 × 172,258
  4. Step 4: Simplify right side
    299,541.40x = 71,199,938,307.54
  5. Step 5: Solve for x
    x = 71,199,938,307.54/299,541.40
  6. Step 6: Final answer
    x = 237,696.49

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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.