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Finding the Fourth Proportional to 499,305.16, 689,045.30 and 284,441.88

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Solution

The fourth proportional to 499,305.16, 689,045.30 and 284,441.88 is: 392,532.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,305.16 : 689,045.30 = 284,441.88 : x
  2. Step 2: Convert to fraction form
    499,305.16/689,045.30 = 284,441.88/x
  3. Step 3: Cross multiply
    499,305.16x = 689,045.30 × 284,441.88
  4. Step 4: Simplify right side
    499,305.16x = 195,993,340,537.16
  5. Step 5: Solve for x
    x = 195,993,340,537.16/499,305.16
  6. Step 6: Final answer
    x = 392,532.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.