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Finding the Fourth Proportional to 279,689.76, 385,968.40 and 152,362.64

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Solution

The fourth proportional to 279,689.76, 385,968.40 and 152,362.64 is: 210,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,689.76 : 385,968.40 = 152,362.64 : x
  2. Step 2: Convert to fraction form
    279,689.76/385,968.40 = 152,362.64/x
  3. Step 3: Cross multiply
    279,689.76x = 385,968.40 × 152,362.64
  4. Step 4: Simplify right side
    279,689.76x = 58,807,164,380.58
  5. Step 5: Solve for x
    x = 58,807,164,380.58/279,689.76
  6. Step 6: Final answer
    x = 210,258.55

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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.