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Finding the Fourth Proportional to 760,338, 1,140,462.72 and 199,372.32

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Solution

The fourth proportional to 760,338, 1,140,462.72 and 199,372.32 is: 299,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,338 : 1,140,462.72 = 199,372.32 : x
  2. Step 2: Convert to fraction form
    760,338/1,140,462.72 = 199,372.32/x
  3. Step 3: Cross multiply
    760,338x = 1,140,462.72 × 199,372.32
  4. Step 4: Simplify right side
    760,338x = 227,376,698,359.91
  5. Step 5: Solve for x
    x = 227,376,698,359.91/760,338
  6. Step 6: Final answer
    x = 299,046.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.