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Finding the Fourth Proportional to 416,490.30, 623,860.65 and 229,283.10

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Solution

The fourth proportional to 416,490.30, 623,860.65 and 229,283.10 is: 343,443.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,490.30 : 623,860.65 = 229,283.10 : x
  2. Step 2: Convert to fraction form
    416,490.30/623,860.65 = 229,283.10/x
  3. Step 3: Cross multiply
    416,490.30x = 623,860.65 × 229,283.10
  4. Step 4: Simplify right side
    416,490.30x = 143,040,703,800.02
  5. Step 5: Solve for x
    x = 143,040,703,800.02/416,490.30
  6. Step 6: Final answer
    x = 343,443.06

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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.