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Finding the Fourth Proportional to 252,639.66, 378,769.80 and 152,779.34

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Solution

The fourth proportional to 252,639.66, 378,769.80 and 152,779.34 is: 229,054.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,639.66 : 378,769.80 = 152,779.34 : x
  2. Step 2: Convert to fraction form
    252,639.66/378,769.80 = 152,779.34/x
  3. Step 3: Cross multiply
    252,639.66x = 378,769.80 × 152,779.34
  4. Step 4: Simplify right side
    252,639.66x = 57,868,200,055.93
  5. Step 5: Solve for x
    x = 57,868,200,055.93/252,639.66
  6. Step 6: Final answer
    x = 229,054.30

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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.