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Finding the Fourth Proportional to 265,578.85, 398,430.44 and 105,663.84

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Solution

The fourth proportional to 265,578.85, 398,430.44 and 105,663.84 is: 158,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,578.85 : 398,430.44 = 105,663.84 : x
  2. Step 2: Convert to fraction form
    265,578.85/398,430.44 = 105,663.84/x
  3. Step 3: Cross multiply
    265,578.85x = 398,430.44 × 105,663.84
  4. Step 4: Simplify right side
    265,578.85x = 42,099,690,263.29
  5. Step 5: Solve for x
    x = 42,099,690,263.29/265,578.85
  6. Step 6: Final answer
    x = 158,520.49

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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.