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Finding the Fourth Proportional to 405,501.30, 559,567.74 and 224,199

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Solution

The fourth proportional to 405,501.30, 559,567.74 and 224,199 is: 309,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,501.30 : 559,567.74 = 224,199 : x
  2. Step 2: Convert to fraction form
    405,501.30/559,567.74 = 224,199/x
  3. Step 3: Cross multiply
    405,501.30x = 559,567.74 × 224,199
  4. Step 4: Simplify right side
    405,501.30x = 125,454,527,740.26
  5. Step 5: Solve for x
    x = 125,454,527,740.26/405,501.30
  6. Step 6: Final answer
    x = 309,381.32

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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.