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Finding the Fourth Proportional to 314,895.36, 472,354.38 and 78,239.28

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Solution

The fourth proportional to 314,895.36, 472,354.38 and 78,239.28 is: 117,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,895.36 : 472,354.38 = 78,239.28 : x
  2. Step 2: Convert to fraction form
    314,895.36/472,354.38 = 78,239.28/x
  3. Step 3: Cross multiply
    314,895.36x = 472,354.38 × 78,239.28
  4. Step 4: Simplify right side
    314,895.36x = 36,956,666,596.05
  5. Step 5: Solve for x
    x = 36,956,666,596.05/314,895.36
  6. Step 6: Final answer
    x = 117,361.74

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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.