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Finding the Fourth Proportional to 712,221.80, 982,863.45 and 406,297.64

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Solution

The fourth proportional to 712,221.80, 982,863.45 and 406,297.64 is: 560,689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,221.80 : 982,863.45 = 406,297.64 : x
  2. Step 2: Convert to fraction form
    712,221.80/982,863.45 = 406,297.64/x
  3. Step 3: Cross multiply
    712,221.80x = 982,863.45 × 406,297.64
  4. Step 4: Simplify right side
    712,221.80x = 399,335,095,262.94
  5. Step 5: Solve for x
    x = 399,335,095,262.94/712,221.80
  6. Step 6: Final answer
    x = 560,689.24

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Double scale
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1.5x scale

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.