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Finding the Fourth Proportional to 306,005.80, 459,008.70 and 81,400.90

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Solution

The fourth proportional to 306,005.80, 459,008.70 and 81,400.90 is: 122,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,005.80 : 459,008.70 = 81,400.90 : x
  2. Step 2: Convert to fraction form
    306,005.80/459,008.70 = 81,400.90/x
  3. Step 3: Cross multiply
    306,005.80x = 459,008.70 × 81,400.90
  4. Step 4: Simplify right side
    306,005.80x = 37,363,721,287.83
  5. Step 5: Solve for x
    x = 37,363,721,287.83/306,005.80
  6. Step 6: Final answer
    x = 122,101.35

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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.