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Finding the Fourth Proportional to 295,820.48, 407,372.28 and 257,042

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Solution

The fourth proportional to 295,820.48, 407,372.28 and 257,042 is: 353,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,820.48 : 407,372.28 = 257,042 : x
  2. Step 2: Convert to fraction form
    295,820.48/407,372.28 = 257,042/x
  3. Step 3: Cross multiply
    295,820.48x = 407,372.28 × 257,042
  4. Step 4: Simplify right side
    295,820.48x = 104,711,785,595.76
  5. Step 5: Solve for x
    x = 104,711,785,595.76/295,820.48
  6. Step 6: Final answer
    x = 353,970.71

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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.