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Finding the Fourth Proportional to 282,658.62, 390,050.55 and 161,800.86

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Solution

The fourth proportional to 282,658.62, 390,050.55 and 161,800.86 is: 223,274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,658.62 : 390,050.55 = 161,800.86 : x
  2. Step 2: Convert to fraction form
    282,658.62/390,050.55 = 161,800.86/x
  3. Step 3: Cross multiply
    282,658.62x = 390,050.55 × 161,800.86
  4. Step 4: Simplify right side
    282,658.62x = 63,110,514,433.47
  5. Step 5: Solve for x
    x = 63,110,514,433.47/282,658.62
  6. Step 6: Final answer
    x = 223,274.69

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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.