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Finding the Fourth Proportional to 389,518.96, 584,484.16 and 276,397.73

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Solution

The fourth proportional to 389,518.96, 584,484.16 and 276,397.73 is: 414,742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,518.96 : 584,484.16 = 276,397.73 : x
  2. Step 2: Convert to fraction form
    389,518.96/584,484.16 = 276,397.73/x
  3. Step 3: Cross multiply
    389,518.96x = 584,484.16 × 276,397.73
  4. Step 4: Simplify right side
    389,518.96x = 161,550,094,308.40
  5. Step 5: Solve for x
    x = 161,550,094,308.40/389,518.96
  6. Step 6: Final answer
    x = 414,742.57

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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.