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Finding the Fourth Proportional to 264,742.60, 397,028.52 and 87,207.40

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Solution

The fourth proportional to 264,742.60, 397,028.52 and 87,207.40 is: 130,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,742.60 : 397,028.52 = 87,207.40 : x
  2. Step 2: Convert to fraction form
    264,742.60/397,028.52 = 87,207.40/x
  3. Step 3: Cross multiply
    264,742.60x = 397,028.52 × 87,207.40
  4. Step 4: Simplify right side
    264,742.60x = 34,623,824,955.05
  5. Step 5: Solve for x
    x = 34,623,824,955.05/264,742.60
  6. Step 6: Final answer
    x = 130,782.98

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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.