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Finding the Fourth Proportional to 461,549.07, 636,969.69 and 257,639.67

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Solution

The fourth proportional to 461,549.07, 636,969.69 and 257,639.67 is: 355,560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,549.07 : 636,969.69 = 257,639.67 : x
  2. Step 2: Convert to fraction form
    461,549.07/636,969.69 = 257,639.67/x
  3. Step 3: Cross multiply
    461,549.07x = 636,969.69 × 257,639.67
  4. Step 4: Simplify right side
    461,549.07x = 164,108,660,731.60
  5. Step 5: Solve for x
    x = 164,108,660,731.60/461,549.07
  6. Step 6: Final answer
    x = 355,560.59

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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.