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Finding the Fourth Proportional to 357,013.52, 535,146.68 and 120,274.42

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Solution

The fourth proportional to 357,013.52, 535,146.68 and 120,274.42 is: 180,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,013.52 : 535,146.68 = 120,274.42 : x
  2. Step 2: Convert to fraction form
    357,013.52/535,146.68 = 120,274.42/x
  3. Step 3: Cross multiply
    357,013.52x = 535,146.68 × 120,274.42
  4. Step 4: Simplify right side
    357,013.52x = 64,364,456,551.93
  5. Step 5: Solve for x
    x = 64,364,456,551.93/357,013.52
  6. Step 6: Final answer
    x = 180,285.77

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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.