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Finding the Fourth Proportional to 380,730.83, 525,409.11 and 208,621.44

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Solution

The fourth proportional to 380,730.83, 525,409.11 and 208,621.44 is: 287,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,730.83 : 525,409.11 = 208,621.44 : x
  2. Step 2: Convert to fraction form
    380,730.83/525,409.11 = 208,621.44/x
  3. Step 3: Cross multiply
    380,730.83x = 525,409.11 × 208,621.44
  4. Step 4: Simplify right side
    380,730.83x = 109,611,605,117.32
  5. Step 5: Solve for x
    x = 109,611,605,117.32/380,730.83
  6. Step 6: Final answer
    x = 287,897.90

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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.