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Finding the Fourth Proportional to 314,955.23, 472,428.75 and 78,299.96

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Solution

The fourth proportional to 314,955.23, 472,428.75 and 78,299.96 is: 117,448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,955.23 : 472,428.75 = 78,299.96 : x
  2. Step 2: Convert to fraction form
    314,955.23/472,428.75 = 78,299.96/x
  3. Step 3: Cross multiply
    314,955.23x = 472,428.75 × 78,299.96
  4. Step 4: Simplify right side
    314,955.23x = 36,991,151,836.35
  5. Step 5: Solve for x
    x = 36,991,151,836.35/314,955.23
  6. Step 6: Final answer
    x = 117,448.92

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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.