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Finding the Fourth Proportional to 545,830.80, 818,855.55 and 457,694.70

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Solution

The fourth proportional to 545,830.80, 818,855.55 and 457,694.70 is: 686,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,830.80 : 818,855.55 = 457,694.70 : x
  2. Step 2: Convert to fraction form
    545,830.80/818,855.55 = 457,694.70/x
  3. Step 3: Cross multiply
    545,830.80x = 818,855.55 × 457,694.70
  4. Step 4: Simplify right side
    545,830.80x = 374,785,845,300.59
  5. Step 5: Solve for x
    x = 374,785,845,300.59/545,830.80
  6. Step 6: Final answer
    x = 686,633.74

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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.