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Finding the Fourth Proportional to 310,083.24, 427,920.12 and 172,258.56

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Solution

The fourth proportional to 310,083.24, 427,920.12 and 172,258.56 is: 237,719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,083.24 : 427,920.12 = 172,258.56 : x
  2. Step 2: Convert to fraction form
    310,083.24/427,920.12 = 172,258.56/x
  3. Step 3: Cross multiply
    310,083.24x = 427,920.12 × 172,258.56
  4. Step 4: Simplify right side
    310,083.24x = 73,712,903,666.23
  5. Step 5: Solve for x
    x = 73,712,903,666.23/310,083.24
  6. Step 6: Final answer
    x = 237,719.73

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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.