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Finding the Fourth Proportional to 306,297, 459,729.80 and 156,644.24

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Solution

The fourth proportional to 306,297, 459,729.80 and 156,644.24 is: 235,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,297 : 459,729.80 = 156,644.24 : x
  2. Step 2: Convert to fraction form
    306,297/459,729.80 = 156,644.24/x
  3. Step 3: Cross multiply
    306,297x = 459,729.80 × 156,644.24
  4. Step 4: Simplify right side
    306,297x = 72,014,025,126.35
  5. Step 5: Solve for x
    x = 72,014,025,126.35/306,297
  6. Step 6: Final answer
    x = 235,111.75

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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.