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Finding the Fourth Proportional to 461,803.15, 637,299.17 and 257,847.18

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Solution

The fourth proportional to 461,803.15, 637,299.17 and 257,847.18 is: 355,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,803.15 : 637,299.17 = 257,847.18 : x
  2. Step 2: Convert to fraction form
    461,803.15/637,299.17 = 257,847.18/x
  3. Step 3: Cross multiply
    461,803.15x = 637,299.17 × 257,847.18
  4. Step 4: Simplify right side
    461,803.15x = 164,325,792,539.05
  5. Step 5: Solve for x
    x = 164,325,792,539.05/461,803.15
  6. Step 6: Final answer
    x = 355,835.15

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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.