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Finding the Fourth Proportional to 536,657.61, 804,980.74 and 137,295.21

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Solution

The fourth proportional to 536,657.61, 804,980.74 and 137,295.21 is: 205,941.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,657.61 : 804,980.74 = 137,295.21 : x
  2. Step 2: Convert to fraction form
    536,657.61/804,980.74 = 137,295.21/x
  3. Step 3: Cross multiply
    536,657.61x = 804,980.74 × 137,295.21
  4. Step 4: Simplify right side
    536,657.61x = 110,519,999,744.26
  5. Step 5: Solve for x
    x = 110,519,999,744.26/536,657.61
  6. Step 6: Final answer
    x = 205,941.36

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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.