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Finding the Fourth Proportional to 285,818.63, 394,421.40 and 156,754.64

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Solution

The fourth proportional to 285,818.63, 394,421.40 and 156,754.64 is: 216,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,818.63 : 394,421.40 = 156,754.64 : x
  2. Step 2: Convert to fraction form
    285,818.63/394,421.40 = 156,754.64/x
  3. Step 3: Cross multiply
    285,818.63x = 394,421.40 × 156,754.64
  4. Step 4: Simplify right side
    285,818.63x = 61,827,385,551.35
  5. Step 5: Solve for x
    x = 61,827,385,551.35/285,818.63
  6. Step 6: Final answer
    x = 216,316.85

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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.