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Finding the Fourth Proportional to 357,053.52, 535,558.28 and 146,686

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Solution

The fourth proportional to 357,053.52, 535,558.28 and 146,686 is: 220,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,053.52 : 535,558.28 = 146,686 : x
  2. Step 2: Convert to fraction form
    357,053.52/535,558.28 = 146,686/x
  3. Step 3: Cross multiply
    357,053.52x = 535,558.28 × 146,686
  4. Step 4: Simplify right side
    357,053.52x = 78,558,901,860.08
  5. Step 5: Solve for x
    x = 78,558,901,860.08/357,053.52
  6. Step 6: Final answer
    x = 220,019.96

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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.