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Finding the Fourth Proportional to 392,602.30, 587,740.92 and 242,359.50

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Solution

The fourth proportional to 392,602.30, 587,740.92 and 242,359.50 is: 362,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,602.30 : 587,740.92 = 242,359.50 : x
  2. Step 2: Convert to fraction form
    392,602.30/587,740.92 = 242,359.50/x
  3. Step 3: Cross multiply
    392,602.30x = 587,740.92 × 242,359.50
  4. Step 4: Simplify right side
    392,602.30x = 142,444,595,500.74
  5. Step 5: Solve for x
    x = 142,444,595,500.74/392,602.30
  6. Step 6: Final answer
    x = 362,821.60

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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.