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Finding the Fourth Proportional to 291,445.02, 402,124.10 and 164,120.58

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Solution

The fourth proportional to 291,445.02, 402,124.10 and 164,120.58 is: 226,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,445.02 : 402,124.10 = 164,120.58 : x
  2. Step 2: Convert to fraction form
    291,445.02/402,124.10 = 164,120.58/x
  3. Step 3: Cross multiply
    291,445.02x = 402,124.10 × 164,120.58
  4. Step 4: Simplify right side
    291,445.02x = 65,996,839,703.38
  5. Step 5: Solve for x
    x = 65,996,839,703.38/291,445.02
  6. Step 6: Final answer
    x = 226,446.96

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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.