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Finding the Fourth Proportional to 513,798.96, 770,772.28 and 158,840.68

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Solution

The fourth proportional to 513,798.96, 770,772.28 and 158,840.68 is: 238,283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,798.96 : 770,772.28 = 158,840.68 : x
  2. Step 2: Convert to fraction form
    513,798.96/770,772.28 = 158,840.68/x
  3. Step 3: Cross multiply
    513,798.96x = 770,772.28 × 158,840.68
  4. Step 4: Simplify right side
    513,798.96x = 122,429,993,080.35
  5. Step 5: Solve for x
    x = 122,429,993,080.35/513,798.96
  6. Step 6: Final answer
    x = 238,283.85

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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.