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Finding the Fourth Proportional to 306,004.90, 459,007.35 and 81,364.90

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Solution

The fourth proportional to 306,004.90, 459,007.35 and 81,364.90 is: 122,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,004.90 : 459,007.35 = 81,364.90 : x
  2. Step 2: Convert to fraction form
    306,004.90/459,007.35 = 81,364.90/x
  3. Step 3: Cross multiply
    306,004.90x = 459,007.35 × 81,364.90
  4. Step 4: Simplify right side
    306,004.90x = 37,347,087,132.02
  5. Step 5: Solve for x
    x = 37,347,087,132.02/306,004.90
  6. Step 6: Final answer
    x = 122,047.35

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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.