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Finding the Fourth Proportional to 306,428.80, 459,643.20 and 84,812.80

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Solution

The fourth proportional to 306,428.80, 459,643.20 and 84,812.80 is: 127,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,428.80 : 459,643.20 = 84,812.80 : x
  2. Step 2: Convert to fraction form
    306,428.80/459,643.20 = 84,812.80/x
  3. Step 3: Cross multiply
    306,428.80x = 459,643.20 × 84,812.80
  4. Step 4: Simplify right side
    306,428.80x = 38,983,626,792.96
  5. Step 5: Solve for x
    x = 38,983,626,792.96/306,428.80
  6. Step 6: Final answer
    x = 127,219.20

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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.