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Finding the Fourth Proportional to 316,970.82, 475,511.54 and 139,473.23

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Solution

The fourth proportional to 316,970.82, 475,511.54 and 139,473.23 is: 209,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,970.82 : 475,511.54 = 139,473.23 : x
  2. Step 2: Convert to fraction form
    316,970.82/475,511.54 = 139,473.23/x
  3. Step 3: Cross multiply
    316,970.82x = 475,511.54 × 139,473.23
  4. Step 4: Simplify right side
    316,970.82x = 66,321,127,311.15
  5. Step 5: Solve for x
    x = 66,321,127,311.15/316,970.82
  6. Step 6: Final answer
    x = 209,234.17

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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.