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Finding the Fourth Proportional to 405,830.80, 560,062.98 and 224,539.78

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Solution

The fourth proportional to 405,830.80, 560,062.98 and 224,539.78 is: 309,874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,830.80 : 560,062.98 = 224,539.78 : x
  2. Step 2: Convert to fraction form
    405,830.80/560,062.98 = 224,539.78/x
  3. Step 3: Cross multiply
    405,830.80x = 560,062.98 × 224,539.78
  4. Step 4: Simplify right side
    405,830.80x = 125,756,418,315.34
  5. Step 5: Solve for x
    x = 125,756,418,315.34/405,830.80
  6. Step 6: Final answer
    x = 309,874.01

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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.