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Finding the Fourth Proportional to 452,605.49, 678,908.12 and 115,646.77

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Solution

The fourth proportional to 452,605.49, 678,908.12 and 115,646.77 is: 173,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,605.49 : 678,908.12 = 115,646.77 : x
  2. Step 2: Convert to fraction form
    452,605.49/678,908.12 = 115,646.77/x
  3. Step 3: Cross multiply
    452,605.49x = 678,908.12 × 115,646.77
  4. Step 4: Simplify right side
    452,605.49x = 78,513,531,204.77
  5. Step 5: Solve for x
    x = 78,513,531,204.77/452,605.49
  6. Step 6: Final answer
    x = 173,470.13

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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.