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Finding the Fourth Proportional to 392,017.35, 587,509.34 and 155,230.86

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Solution

The fourth proportional to 392,017.35, 587,509.34 and 155,230.86 is: 232,641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,017.35 : 587,509.34 = 155,230.86 : x
  2. Step 2: Convert to fraction form
    392,017.35/587,509.34 = 155,230.86/x
  3. Step 3: Cross multiply
    392,017.35x = 587,509.34 × 155,230.86
  4. Step 4: Simplify right side
    392,017.35x = 91,199,580,106.23
  5. Step 5: Solve for x
    x = 91,199,580,106.23/392,017.35
  6. Step 6: Final answer
    x = 232,641.69

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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.