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Finding the Fourth Proportional to 1,244,731.20, 1,862,431.20 and 824,827.20

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Solution

The fourth proportional to 1,244,731.20, 1,862,431.20 and 824,827.20 is: 1,234,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244,731.20 : 1,862,431.20 = 824,827.20 : x
  2. Step 2: Convert to fraction form
    1,244,731.20/1,862,431.20 = 824,827.20/x
  3. Step 3: Cross multiply
    1,244,731.20x = 1,862,431.20 × 824,827.20
  4. Step 4: Simplify right side
    1,244,731.20x = 1,536,183,911,888.64
  5. Step 5: Solve for x
    x = 1,536,183,911,888.64/1,244,731.20
  6. Step 6: Final answer
    x = 1,234,149.12

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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.