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Finding the Fourth Proportional to 405,693.23, 559,807.61 and 224,380.40

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Solution

The fourth proportional to 405,693.23, 559,807.61 and 224,380.40 is: 309,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,693.23 : 559,807.61 = 224,380.40 : x
  2. Step 2: Convert to fraction form
    405,693.23/559,807.61 = 224,380.40/x
  3. Step 3: Cross multiply
    405,693.23x = 559,807.61 × 224,380.40
  4. Step 4: Simplify right side
    405,693.23x = 125,609,851,533.90
  5. Step 5: Solve for x
    x = 125,609,851,533.90/405,693.23
  6. Step 6: Final answer
    x = 309,617.82

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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.