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Finding the Fourth Proportional to 569,486.50, 785,907.78 and 314,854.09

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Solution

The fourth proportional to 569,486.50, 785,907.78 and 314,854.09 is: 434,507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,486.50 : 785,907.78 = 314,854.09 : x
  2. Step 2: Convert to fraction form
    569,486.50/785,907.78 = 314,854.09/x
  3. Step 3: Cross multiply
    569,486.50x = 785,907.78 × 314,854.09
  4. Step 4: Simplify right side
    569,486.50x = 247,446,278,895.82
  5. Step 5: Solve for x
    x = 247,446,278,895.82/569,486.50
  6. Step 6: Final answer
    x = 434,507.72

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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.