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Finding the Fourth Proportional to 369,611.92, 510,064.30 and 208,466.64

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Solution

The fourth proportional to 369,611.92, 510,064.30 and 208,466.64 is: 287,683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,611.92 : 510,064.30 = 208,466.64 : x
  2. Step 2: Convert to fraction form
    369,611.92/510,064.30 = 208,466.64/x
  3. Step 3: Cross multiply
    369,611.92x = 510,064.30 × 208,466.64
  4. Step 4: Simplify right side
    369,611.92x = 106,331,390,804.95
  5. Step 5: Solve for x
    x = 106,331,390,804.95/369,611.92
  6. Step 6: Final answer
    x = 287,683.88

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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.