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Finding the Fourth Proportional to 405,502, 559,570.16 and 224,203.04

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Solution

The fourth proportional to 405,502, 559,570.16 and 224,203.04 is: 309,387.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,502 : 559,570.16 = 224,203.04 : x
  2. Step 2: Convert to fraction form
    405,502/559,570.16 = 224,203.04/x
  3. Step 3: Cross multiply
    405,502x = 559,570.16 × 224,203.04
  4. Step 4: Simplify right side
    405,502x = 125,457,330,965.29
  5. Step 5: Solve for x
    x = 125,457,330,965.29/405,502
  6. Step 6: Final answer
    x = 309,387.70

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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.