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Finding the Fourth Proportional to 405,458.40, 559,489.71 and 224,141.10

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Solution

The fourth proportional to 405,458.40, 559,489.71 and 224,141.10 is: 309,291.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,458.40 : 559,489.71 = 224,141.10 : x
  2. Step 2: Convert to fraction form
    405,458.40/559,489.71 = 224,141.10/x
  3. Step 3: Cross multiply
    405,458.40x = 559,489.71 × 224,141.10
  4. Step 4: Simplify right side
    405,458.40x = 125,404,639,038.08
  5. Step 5: Solve for x
    x = 125,404,639,038.08/405,458.40
  6. Step 6: Final answer
    x = 309,291.01

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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.