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Finding the Fourth Proportional to 405,839.80, 560,075.43 and 224,548.78

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Solution

The fourth proportional to 405,839.80, 560,075.43 and 224,548.78 is: 309,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,839.80 : 560,075.43 = 224,548.78 : x
  2. Step 2: Convert to fraction form
    405,839.80/560,075.43 = 224,548.78/x
  3. Step 3: Cross multiply
    405,839.80x = 560,075.43 × 224,548.78
  4. Step 4: Simplify right side
    405,839.80x = 125,764,254,514.48
  5. Step 5: Solve for x
    x = 125,764,254,514.48/405,839.80
  6. Step 6: Final answer
    x = 309,886.45

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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.