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Finding the Fourth Proportional to 493,368.98, 740,099.94 and 138,381.51

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Solution

The fourth proportional to 493,368.98, 740,099.94 and 138,381.51 is: 207,585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,368.98 : 740,099.94 = 138,381.51 : x
  2. Step 2: Convert to fraction form
    493,368.98/740,099.94 = 138,381.51/x
  3. Step 3: Cross multiply
    493,368.98x = 740,099.94 × 138,381.51
  4. Step 4: Simplify right side
    493,368.98x = 102,416,149,504.55
  5. Step 5: Solve for x
    x = 102,416,149,504.55/493,368.98
  6. Step 6: Final answer
    x = 207,585.31

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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.