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Finding the Fourth Proportional to 405,457.34, 559,508.54 and 224,158.68

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Solution

The fourth proportional to 405,457.34, 559,508.54 and 224,158.68 is: 309,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,457.34 : 559,508.54 = 224,158.68 : x
  2. Step 2: Convert to fraction form
    405,457.34/559,508.54 = 224,158.68/x
  3. Step 3: Cross multiply
    405,457.34x = 559,508.54 × 224,158.68
  4. Step 4: Simplify right side
    405,457.34x = 125,418,694,654.33
  5. Step 5: Solve for x
    x = 125,418,694,654.33/405,457.34
  6. Step 6: Final answer
    x = 309,326.49

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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.