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Finding the Fourth Proportional to 314,602.20, 434,135.70 and 178,618.32

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Solution

The fourth proportional to 314,602.20, 434,135.70 and 178,618.32 is: 246,484.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,602.20 : 434,135.70 = 178,618.32 : x
  2. Step 2: Convert to fraction form
    314,602.20/434,135.70 = 178,618.32/x
  3. Step 3: Cross multiply
    314,602.20x = 434,135.70 × 178,618.32
  4. Step 4: Simplify right side
    314,602.20x = 77,544,589,386.02
  5. Step 5: Solve for x
    x = 77,544,589,386.02/314,602.20
  6. Step 6: Final answer
    x = 246,484.57

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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.