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Finding the Fourth Proportional to 301,117.76, 415,508.64 and 186,344

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Solution

The fourth proportional to 301,117.76, 415,508.64 and 186,344 is: 257,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,117.76 : 415,508.64 = 186,344 : x
  2. Step 2: Convert to fraction form
    301,117.76/415,508.64 = 186,344/x
  3. Step 3: Cross multiply
    301,117.76x = 415,508.64 × 186,344
  4. Step 4: Simplify right side
    301,117.76x = 77,427,542,012.16
  5. Step 5: Solve for x
    x = 77,427,542,012.16/301,117.76
  6. Step 6: Final answer
    x = 257,133.76

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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.