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Finding the Fourth Proportional to 306,486.75, 459,730.13 and 84,870.75

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Solution

The fourth proportional to 306,486.75, 459,730.13 and 84,870.75 is: 127,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,486.75 : 459,730.13 = 84,870.75 : x
  2. Step 2: Convert to fraction form
    306,486.75/459,730.13 = 84,870.75/x
  3. Step 3: Cross multiply
    306,486.75x = 459,730.13 × 84,870.75
  4. Step 4: Simplify right side
    306,486.75x = 39,017,640,506.34
  5. Step 5: Solve for x
    x = 39,017,640,506.34/306,486.75
  6. Step 6: Final answer
    x = 127,306.13

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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.