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Finding the Fourth Proportional to 420,901.40, 580,699.86 and 239,567.96

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Solution

The fourth proportional to 420,901.40, 580,699.86 and 239,567.96 is: 330,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,901.40 : 580,699.86 = 239,567.96 : x
  2. Step 2: Convert to fraction form
    420,901.40/580,699.86 = 239,567.96/x
  3. Step 3: Cross multiply
    420,901.40x = 580,699.86 × 239,567.96
  4. Step 4: Simplify right side
    420,901.40x = 139,117,080,832.49
  5. Step 5: Solve for x
    x = 139,117,080,832.49/420,901.40
  6. Step 6: Final answer
    x = 330,521.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.