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Finding the Fourth Proportional to 285,482.04, 394,020.32 and 164,701.32

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Solution

The fourth proportional to 285,482.04, 394,020.32 and 164,701.32 is: 227,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,482.04 : 394,020.32 = 164,701.32 : x
  2. Step 2: Convert to fraction form
    285,482.04/394,020.32 = 164,701.32/x
  3. Step 3: Cross multiply
    285,482.04x = 394,020.32 × 164,701.32
  4. Step 4: Simplify right side
    285,482.04x = 64,895,666,810.82
  5. Step 5: Solve for x
    x = 64,895,666,810.82/285,482.04
  6. Step 6: Final answer
    x = 227,319.61

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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.