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Finding the Fourth Proportional to 516,400.80, 773,070.30 and 383,868.60

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Solution

The fourth proportional to 516,400.80, 773,070.30 and 383,868.60 is: 574,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,400.80 : 773,070.30 = 383,868.60 : x
  2. Step 2: Convert to fraction form
    516,400.80/773,070.30 = 383,868.60/x
  3. Step 3: Cross multiply
    516,400.80x = 773,070.30 × 383,868.60
  4. Step 4: Simplify right side
    516,400.80x = 296,757,413,762.58
  5. Step 5: Solve for x
    x = 296,757,413,762.58/516,400.80
  6. Step 6: Final answer
    x = 574,664.90

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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.