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Finding the Fourth Proportional to 473,538.60, 711,863.10 and 405,109.80

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Solution

The fourth proportional to 473,538.60, 711,863.10 and 405,109.80 is: 608,995.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,538.60 : 711,863.10 = 405,109.80 : x
  2. Step 2: Convert to fraction form
    473,538.60/711,863.10 = 405,109.80/x
  3. Step 3: Cross multiply
    473,538.60x = 711,863.10 × 405,109.80
  4. Step 4: Simplify right side
    473,538.60x = 288,382,718,068.38
  5. Step 5: Solve for x
    x = 288,382,718,068.38/473,538.60
  6. Step 6: Final answer
    x = 608,995.17

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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.