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Finding the Fourth Proportional to 291,902.10, 437,998.95 and 165,639.30

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Solution

The fourth proportional to 291,902.10, 437,998.95 and 165,639.30 is: 248,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,902.10 : 437,998.95 = 165,639.30 : x
  2. Step 2: Convert to fraction form
    291,902.10/437,998.95 = 165,639.30/x
  3. Step 3: Cross multiply
    291,902.10x = 437,998.95 × 165,639.30
  4. Step 4: Simplify right side
    291,902.10x = 72,549,839,478.74
  5. Step 5: Solve for x
    x = 72,549,839,478.74/291,902.10
  6. Step 6: Final answer
    x = 248,541.68

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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.