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Finding the Fourth Proportional to 306,407.30, 459,654.01 and 81,775.06

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Solution

The fourth proportional to 306,407.30, 459,654.01 and 81,775.06 is: 122,674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,407.30 : 459,654.01 = 81,775.06 : x
  2. Step 2: Convert to fraction form
    306,407.30/459,654.01 = 81,775.06/x
  3. Step 3: Cross multiply
    306,407.30x = 459,654.01 × 81,775.06
  4. Step 4: Simplify right side
    306,407.30x = 37,588,232,893.42
  5. Step 5: Solve for x
    x = 37,588,232,893.42/306,407.30
  6. Step 6: Final answer
    x = 122,674.08

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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.