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Finding the Fourth Proportional to 387,390.48, 579,835.80 and 200,144.40

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Solution

The fourth proportional to 387,390.48, 579,835.80 and 200,144.40 is: 299,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,390.48 : 579,835.80 = 200,144.40 : x
  2. Step 2: Convert to fraction form
    387,390.48/579,835.80 = 200,144.40/x
  3. Step 3: Cross multiply
    387,390.48x = 579,835.80 × 200,144.40
  4. Step 4: Simplify right side
    387,390.48x = 116,050,888,289.52
  5. Step 5: Solve for x
    x = 116,050,888,289.52/387,390.48
  6. Step 6: Final answer
    x = 299,570.83

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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.