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Finding the Fourth Proportional to 719,817.64, 993,407.09 and 413,993.03

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Solution

The fourth proportional to 719,817.64, 993,407.09 and 413,993.03 is: 571,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,817.64 : 993,407.09 = 413,993.03 : x
  2. Step 2: Convert to fraction form
    719,817.64/993,407.09 = 413,993.03/x
  3. Step 3: Cross multiply
    719,817.64x = 993,407.09 × 413,993.03
  4. Step 4: Simplify right side
    719,817.64x = 411,263,604,175.58
  5. Step 5: Solve for x
    x = 411,263,604,175.58/719,817.64
  6. Step 6: Final answer
    x = 571,344.16

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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.