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Finding the Fourth Proportional to 461,433.88, 692,146.50 and 145,890.82

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Solution

The fourth proportional to 461,433.88, 692,146.50 and 145,890.82 is: 218,834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,433.88 : 692,146.50 = 145,890.82 : x
  2. Step 2: Convert to fraction form
    461,433.88/692,146.50 = 145,890.82/x
  3. Step 3: Cross multiply
    461,433.88x = 692,146.50 × 145,890.82
  4. Step 4: Simplify right side
    461,433.88x = 100,977,820,445.13
  5. Step 5: Solve for x
    x = 100,977,820,445.13/461,433.88
  6. Step 6: Final answer
    x = 218,834.86

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1.5x scale

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.