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Finding the Fourth Proportional to 306,985.64, 423,527.82 and 186,039.68

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Solution

The fourth proportional to 306,985.64, 423,527.82 and 186,039.68 is: 256,666.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,985.64 : 423,527.82 = 186,039.68 : x
  2. Step 2: Convert to fraction form
    306,985.64/423,527.82 = 186,039.68/x
  3. Step 3: Cross multiply
    306,985.64x = 423,527.82 × 186,039.68
  4. Step 4: Simplify right side
    306,985.64x = 78,792,980,103.90
  5. Step 5: Solve for x
    x = 78,792,980,103.90/306,985.64
  6. Step 6: Final answer
    x = 256,666.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.