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Finding the Fourth Proportional to 306,203.10, 459,085.95 and 137,585.40

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Solution

The fourth proportional to 306,203.10, 459,085.95 and 137,585.40 is: 206,279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,203.10 : 459,085.95 = 137,585.40 : x
  2. Step 2: Convert to fraction form
    306,203.10/459,085.95 = 137,585.40/x
  3. Step 3: Cross multiply
    306,203.10x = 459,085.95 × 137,585.40
  4. Step 4: Simplify right side
    306,203.10x = 63,163,524,065.13
  5. Step 5: Solve for x
    x = 63,163,524,065.13/306,203.10
  6. Step 6: Final answer
    x = 206,279.83

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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.