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Finding the Fourth Proportional to 306,643.20, 459,964.80 and 188,545.20

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Solution

The fourth proportional to 306,643.20, 459,964.80 and 188,545.20 is: 282,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,643.20 : 459,964.80 = 188,545.20 : x
  2. Step 2: Convert to fraction form
    306,643.20/459,964.80 = 188,545.20/x
  3. Step 3: Cross multiply
    306,643.20x = 459,964.80 × 188,545.20
  4. Step 4: Simplify right side
    306,643.20x = 86,724,155,208.96
  5. Step 5: Solve for x
    x = 86,724,155,208.96/306,643.20
  6. Step 6: Final answer
    x = 282,817.80

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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.