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Finding the Fourth Proportional to 380,470.16, 570,748.98 and 222,699.98

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Solution

The fourth proportional to 380,470.16, 570,748.98 and 222,699.98 is: 334,075.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,470.16 : 570,748.98 = 222,699.98 : x
  2. Step 2: Convert to fraction form
    380,470.16/570,748.98 = 222,699.98/x
  3. Step 3: Cross multiply
    380,470.16x = 570,748.98 × 222,699.98
  4. Step 4: Simplify right side
    380,470.16x = 127,105,786,431.02
  5. Step 5: Solve for x
    x = 127,105,786,431.02/380,470.16
  6. Step 6: Final answer
    x = 334,075.57

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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.