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Finding the Fourth Proportional to 405,387.33, 559,430.82 and 224,103.93

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Solution

The fourth proportional to 405,387.33, 559,430.82 and 224,103.93 is: 309,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,387.33 : 559,430.82 = 224,103.93 : x
  2. Step 2: Convert to fraction form
    405,387.33/559,430.82 = 224,103.93/x
  3. Step 3: Cross multiply
    405,387.33x = 559,430.82 × 224,103.93
  4. Step 4: Simplify right side
    405,387.33x = 125,370,645,325.12
  5. Step 5: Solve for x
    x = 125,370,645,325.12/405,387.33
  6. Step 6: Final answer
    x = 309,261.38

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1.5x scale

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.