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Finding the Fourth Proportional to 305,989.13, 459,000.09 and 95,643.47

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Solution

The fourth proportional to 305,989.13, 459,000.09 and 95,643.47 is: 143,470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,989.13 : 459,000.09 = 95,643.47 : x
  2. Step 2: Convert to fraction form
    305,989.13/459,000.09 = 95,643.47/x
  3. Step 3: Cross multiply
    305,989.13x = 459,000.09 × 95,643.47
  4. Step 4: Simplify right side
    305,989.13x = 43,900,359,042.91
  5. Step 5: Solve for x
    x = 43,900,359,042.91/305,989.13
  6. Step 6: Final answer
    x = 143,470.32

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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.