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Finding the Fourth Proportional to 612,378.68, 918,588.75 and 213,022.91

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Solution

The fourth proportional to 612,378.68, 918,588.75 and 213,022.91 is: 319,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,378.68 : 918,588.75 = 213,022.91 : x
  2. Step 2: Convert to fraction form
    612,378.68/918,588.75 = 213,022.91/x
  3. Step 3: Cross multiply
    612,378.68x = 918,588.75 × 213,022.91
  4. Step 4: Simplify right side
    612,378.68x = 195,680,451,314.15
  5. Step 5: Solve for x
    x = 195,680,451,314.15/612,378.68
  6. Step 6: Final answer
    x = 319,541.58

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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.