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Finding the Fourth Proportional to 342,261.36, 512,964 and 164,720.88

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Solution

The fourth proportional to 342,261.36, 512,964 and 164,720.88 is: 246,875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,261.36 : 512,964 = 164,720.88 : x
  2. Step 2: Convert to fraction form
    342,261.36/512,964 = 164,720.88/x
  3. Step 3: Cross multiply
    342,261.36x = 512,964 × 164,720.88
  4. Step 4: Simplify right side
    342,261.36x = 84,495,881,488.32
  5. Step 5: Solve for x
    x = 84,495,881,488.32/342,261.36
  6. Step 6: Final answer
    x = 246,875.32

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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.