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Finding the Fourth Proportional to 493,929.16, 740,807.64 and 138,858.78

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Solution

The fourth proportional to 493,929.16, 740,807.64 and 138,858.78 is: 208,263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,929.16 : 740,807.64 = 138,858.78 : x
  2. Step 2: Convert to fraction form
    493,929.16/740,807.64 = 138,858.78/x
  3. Step 3: Cross multiply
    493,929.16x = 740,807.64 × 138,858.78
  4. Step 4: Simplify right side
    493,929.16x = 102,867,645,105.08
  5. Step 5: Solve for x
    x = 102,867,645,105.08/493,929.16
  6. Step 6: Final answer
    x = 208,263.96

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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.