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Finding the Fourth Proportional to 437,643.20, 656,464.80 and 105,219.20

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Solution

The fourth proportional to 437,643.20, 656,464.80 and 105,219.20 is: 157,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,643.20 : 656,464.80 = 105,219.20 : x
  2. Step 2: Convert to fraction form
    437,643.20/656,464.80 = 105,219.20/x
  3. Step 3: Cross multiply
    437,643.20x = 656,464.80 × 105,219.20
  4. Step 4: Simplify right side
    437,643.20x = 69,072,701,084.16
  5. Step 5: Solve for x
    x = 69,072,701,084.16/437,643.20
  6. Step 6: Final answer
    x = 157,828.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.