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Finding the Fourth Proportional to 305,368.66, 421,409.82 and 169,405.30

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Solution

The fourth proportional to 305,368.66, 421,409.82 and 169,405.30 is: 233,779.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,368.66 : 421,409.82 = 169,405.30 : x
  2. Step 2: Convert to fraction form
    305,368.66/421,409.82 = 169,405.30/x
  3. Step 3: Cross multiply
    305,368.66x = 421,409.82 × 169,405.30
  4. Step 4: Simplify right side
    305,368.66x = 71,389,056,980.05
  5. Step 5: Solve for x
    x = 71,389,056,980.05/305,368.66
  6. Step 6: Final answer
    x = 233,779.91

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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.