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Finding the Fourth Proportional to 469,005.80, 702,990.30 and 258,794.60

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Solution

The fourth proportional to 469,005.80, 702,990.30 and 258,794.60 is: 387,905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,005.80 : 702,990.30 = 258,794.60 : x
  2. Step 2: Convert to fraction form
    469,005.80/702,990.30 = 258,794.60/x
  3. Step 3: Cross multiply
    469,005.80x = 702,990.30 × 258,794.60
  4. Step 4: Simplify right side
    469,005.80x = 181,930,093,492.38
  5. Step 5: Solve for x
    x = 181,930,093,492.38/469,005.80
  6. Step 6: Final answer
    x = 387,905.85

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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.