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Finding the Fourth Proportional to 306,643.70, 459,965.55 and 188,545.70

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Solution

The fourth proportional to 306,643.70, 459,965.55 and 188,545.70 is: 282,818.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,643.70 : 459,965.55 = 188,545.70 : x
  2. Step 2: Convert to fraction form
    306,643.70/459,965.55 = 188,545.70/x
  3. Step 3: Cross multiply
    306,643.70x = 459,965.55 × 188,545.70
  4. Step 4: Simplify right side
    306,643.70x = 86,724,526,600.64
  5. Step 5: Solve for x
    x = 86,724,526,600.64/306,643.70
  6. Step 6: Final answer
    x = 282,818.55

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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.