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Finding the Fourth Proportional to 357,506.28, 536,328.54 and 135,873

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Solution

The fourth proportional to 357,506.28, 536,328.54 and 135,873 is: 203,835.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,506.28 : 536,328.54 = 135,873 : x
  2. Step 2: Convert to fraction form
    357,506.28/536,328.54 = 135,873/x
  3. Step 3: Cross multiply
    357,506.28x = 536,328.54 × 135,873
  4. Step 4: Simplify right side
    357,506.28x = 72,872,567,715.42
  5. Step 5: Solve for x
    x = 72,872,567,715.42/357,506.28
  6. Step 6: Final answer
    x = 203,835.77

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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.