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Finding the Fourth Proportional to 314,774.34, 434,375.06 and 178,807.88

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Solution

The fourth proportional to 314,774.34, 434,375.06 and 178,807.88 is: 246,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,774.34 : 434,375.06 = 178,807.88 : x
  2. Step 2: Convert to fraction form
    314,774.34/434,375.06 = 178,807.88/x
  3. Step 3: Cross multiply
    314,774.34x = 434,375.06 × 178,807.88
  4. Step 4: Simplify right side
    314,774.34x = 77,669,683,603.47
  5. Step 5: Solve for x
    x = 77,669,683,603.47/314,774.34
  6. Step 6: Final answer
    x = 246,747.19

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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.