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Finding the Fourth Proportional to 369,690.36, 510,310.64 and 287,856.60

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Solution

The fourth proportional to 369,690.36, 510,310.64 and 287,856.60 is: 397,349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,690.36 : 510,310.64 = 287,856.60 : x
  2. Step 2: Convert to fraction form
    369,690.36/510,310.64 = 287,856.60/x
  3. Step 3: Cross multiply
    369,690.36x = 510,310.64 × 287,856.60
  4. Step 4: Simplify right side
    369,690.36x = 146,896,285,774.22
  5. Step 5: Solve for x
    x = 146,896,285,774.22/369,690.36
  6. Step 6: Final answer
    x = 397,349.52

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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.