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Finding the Fourth Proportional to 466,435.78, 643,567.20 and 262,447

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Solution

The fourth proportional to 466,435.78, 643,567.20 and 262,447 is: 362,112.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,435.78 : 643,567.20 = 262,447 : x
  2. Step 2: Convert to fraction form
    466,435.78/643,567.20 = 262,447/x
  3. Step 3: Cross multiply
    466,435.78x = 643,567.20 × 262,447
  4. Step 4: Simplify right side
    466,435.78x = 168,902,280,938.40
  5. Step 5: Solve for x
    x = 168,902,280,938.40/466,435.78
  6. Step 6: Final answer
    x = 362,112.62

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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.