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Finding the Fourth Proportional to 279,054.32, 417,916.26 and 152,504.78

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Solution

The fourth proportional to 279,054.32, 417,916.26 and 152,504.78 is: 228,393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,054.32 : 417,916.26 = 152,504.78 : x
  2. Step 2: Convert to fraction form
    279,054.32/417,916.26 = 152,504.78/x
  3. Step 3: Cross multiply
    279,054.32x = 417,916.26 × 152,504.78
  4. Step 4: Simplify right side
    279,054.32x = 63,734,225,200.14
  5. Step 5: Solve for x
    x = 63,734,225,200.14/279,054.32
  6. Step 6: Final answer
    x = 228,393.62

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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.