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Finding the Fourth Proportional to 306,607.69, 459,876.44 and 81,985.64

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Solution

The fourth proportional to 306,607.69, 459,876.44 and 81,985.64 is: 122,969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,607.69 : 459,876.44 = 81,985.64 : x
  2. Step 2: Convert to fraction form
    306,607.69/459,876.44 = 81,985.64/x
  3. Step 3: Cross multiply
    306,607.69x = 459,876.44 × 81,985.64
  4. Step 4: Simplify right side
    306,607.69x = 37,703,265,924.82
  5. Step 5: Solve for x
    x = 37,703,265,924.82/306,607.69
  6. Step 6: Final answer
    x = 122,969.08

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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.