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Finding the Fourth Proportional to 564,051.75, 778,391.46 and 309,403.59

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Solution

The fourth proportional to 564,051.75, 778,391.46 and 309,403.59 is: 426,976.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,051.75 : 778,391.46 = 309,403.59 : x
  2. Step 2: Convert to fraction form
    564,051.75/778,391.46 = 309,403.59/x
  3. Step 3: Cross multiply
    564,051.75x = 778,391.46 × 309,403.59
  4. Step 4: Simplify right side
    564,051.75x = 240,837,112,149.34
  5. Step 5: Solve for x
    x = 240,837,112,149.34/564,051.75
  6. Step 6: Final answer
    x = 426,976.98

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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.