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Finding the Fourth Proportional to 380,075.60, 569,770.68 and 202,707.92

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Solution

The fourth proportional to 380,075.60, 569,770.68 and 202,707.92 is: 303,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,075.60 : 569,770.68 = 202,707.92 : x
  2. Step 2: Convert to fraction form
    380,075.60/569,770.68 = 202,707.92/x
  3. Step 3: Cross multiply
    380,075.60x = 569,770.68 × 202,707.92
  4. Step 4: Simplify right side
    380,075.60x = 115,497,029,419.79
  5. Step 5: Solve for x
    x = 115,497,029,419.79/380,075.60
  6. Step 6: Final answer
    x = 303,879.10

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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.