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Finding the Fourth Proportional to 345,639, 476,981.88 and 186,663

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Solution

The fourth proportional to 345,639, 476,981.88 and 186,663 is: 257,594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,639 : 476,981.88 = 186,663 : x
  2. Step 2: Convert to fraction form
    345,639/476,981.88 = 186,663/x
  3. Step 3: Cross multiply
    345,639x = 476,981.88 × 186,663
  4. Step 4: Simplify right side
    345,639x = 89,034,868,666.44
  5. Step 5: Solve for x
    x = 89,034,868,666.44/345,639
  6. Step 6: Final answer
    x = 257,594.97

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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.