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Finding the Fourth Proportional to 405,477.78, 559,529.87 and 224,191.95

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Solution

The fourth proportional to 405,477.78, 559,529.87 and 224,191.95 is: 309,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,477.78 : 559,529.87 = 224,191.95 : x
  2. Step 2: Convert to fraction form
    405,477.78/559,529.87 = 224,191.95/x
  3. Step 3: Cross multiply
    405,477.78x = 559,529.87 × 224,191.95
  4. Step 4: Simplify right side
    405,477.78x = 125,442,092,638.55
  5. Step 5: Solve for x
    x = 125,442,092,638.55/405,477.78
  6. Step 6: Final answer
    x = 309,368.60

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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.