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Finding the Fourth Proportional to 308,565.27, 462,681.47 and 139,993.61

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Solution

The fourth proportional to 308,565.27, 462,681.47 and 139,993.61 is: 209,914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,565.27 : 462,681.47 = 139,993.61 : x
  2. Step 2: Convert to fraction form
    308,565.27/462,681.47 = 139,993.61/x
  3. Step 3: Cross multiply
    308,565.27x = 462,681.47 × 139,993.61
  4. Step 4: Simplify right side
    308,565.27x = 64,772,446,252.03
  5. Step 5: Solve for x
    x = 64,772,446,252.03/308,565.27
  6. Step 6: Final answer
    x = 209,914.89

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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.