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Finding the Fourth Proportional to 493,875.82, 740,917.01 and 280,741.74

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Solution

The fourth proportional to 493,875.82, 740,917.01 and 280,741.74 is: 421,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,875.82 : 740,917.01 = 280,741.74 : x
  2. Step 2: Convert to fraction form
    493,875.82/740,917.01 = 280,741.74/x
  3. Step 3: Cross multiply
    493,875.82x = 740,917.01 × 280,741.74
  4. Step 4: Simplify right side
    493,875.82x = 208,006,330,583.00
  5. Step 5: Solve for x
    x = 208,006,330,583.00/493,875.82
  6. Step 6: Final answer
    x = 421,171.32

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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.