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Finding the Fourth Proportional to 564,238.80, 778,650.48 and 309,591.90

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Solution

The fourth proportional to 564,238.80, 778,650.48 and 309,591.90 is: 427,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,238.80 : 778,650.48 = 309,591.90 : x
  2. Step 2: Convert to fraction form
    564,238.80/778,650.48 = 309,591.90/x
  3. Step 3: Cross multiply
    564,238.80x = 778,650.48 × 309,591.90
  4. Step 4: Simplify right side
    564,238.80x = 241,063,881,539.11
  5. Step 5: Solve for x
    x = 241,063,881,539.11/564,238.80
  6. Step 6: Final answer
    x = 427,237.34

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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.