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Finding the Fourth Proportional to 279,895.60, 419,551.80 and 153,341.20

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Solution

The fourth proportional to 279,895.60, 419,551.80 and 153,341.20 is: 229,852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,895.60 : 419,551.80 = 153,341.20 : x
  2. Step 2: Convert to fraction form
    279,895.60/419,551.80 = 153,341.20/x
  3. Step 3: Cross multiply
    279,895.60x = 419,551.80 × 153,341.20
  4. Step 4: Simplify right side
    279,895.60x = 64,334,576,474.16
  5. Step 5: Solve for x
    x = 64,334,576,474.16/279,895.60
  6. Step 6: Final answer
    x = 229,852.05

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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.