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Finding the Fourth Proportional to 461,928, 637,462.56 and 249,960

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Solution

The fourth proportional to 461,928, 637,462.56 and 249,960 is: 344,945.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,928 : 637,462.56 = 249,960 : x
  2. Step 2: Convert to fraction form
    461,928/637,462.56 = 249,960/x
  3. Step 3: Cross multiply
    461,928x = 637,462.56 × 249,960
  4. Step 4: Simplify right side
    461,928x = 159,340,141,497.60
  5. Step 5: Solve for x
    x = 159,340,141,497.60/461,928
  6. Step 6: Final answer
    x = 344,945.84

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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.