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Finding the Fourth Proportional to 405,428.95, 559,443.30 and 224,116.30

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Solution

The fourth proportional to 405,428.95, 559,443.30 and 224,116.30 is: 309,253.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,428.95 : 559,443.30 = 224,116.30 : x
  2. Step 2: Convert to fraction form
    405,428.95/559,443.30 = 224,116.30/x
  3. Step 3: Cross multiply
    405,428.95x = 559,443.30 × 224,116.30
  4. Step 4: Simplify right side
    405,428.95x = 125,380,359,658.57
  5. Step 5: Solve for x
    x = 125,380,359,658.57/405,428.95
  6. Step 6: Final answer
    x = 309,253.60

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1.5x scale

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.