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Finding the Fourth Proportional to 524,772.30, 786,659.70 and 205,129.10

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Solution

The fourth proportional to 524,772.30, 786,659.70 and 205,129.10 is: 307,498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,772.30 : 786,659.70 = 205,129.10 : x
  2. Step 2: Convert to fraction form
    524,772.30/786,659.70 = 205,129.10/x
  3. Step 3: Cross multiply
    524,772.30x = 786,659.70 × 205,129.10
  4. Step 4: Simplify right side
    524,772.30x = 161,366,792,333.97
  5. Step 5: Solve for x
    x = 161,366,792,333.97/524,772.30
  6. Step 6: Final answer
    x = 307,498.69

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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.