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Finding the Fourth Proportional to 238,278, 357,341.25 and 78,317.04

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Solution

The fourth proportional to 238,278, 357,341.25 and 78,317.04 is: 117,450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,278 : 357,341.25 = 78,317.04 : x
  2. Step 2: Convert to fraction form
    238,278/357,341.25 = 78,317.04/x
  3. Step 3: Cross multiply
    238,278x = 357,341.25 × 78,317.04
  4. Step 4: Simplify right side
    238,278x = 27,985,908,969.90
  5. Step 5: Solve for x
    x = 27,985,908,969.90/238,278
  6. Step 6: Final answer
    x = 117,450.66

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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.