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Finding the Fourth Proportional to 524,676.57, 787,088.16 and 258,439.29

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Solution

The fourth proportional to 524,676.57, 787,088.16 and 258,439.29 is: 387,695.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,676.57 : 787,088.16 = 258,439.29 : x
  2. Step 2: Convert to fraction form
    524,676.57/787,088.16 = 258,439.29/x
  3. Step 3: Cross multiply
    524,676.57x = 787,088.16 × 258,439.29
  4. Step 4: Simplify right side
    524,676.57x = 203,414,505,237.81
  5. Step 5: Solve for x
    x = 203,414,505,237.81/524,676.57
  6. Step 6: Final answer
    x = 387,695.04

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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.