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Finding the Fourth Proportional to 719,321.72, 992,515.78 and 413,338.98

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Solution

The fourth proportional to 719,321.72, 992,515.78 and 413,338.98 is: 570,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,321.72 : 992,515.78 = 413,338.98 : x
  2. Step 2: Convert to fraction form
    719,321.72/992,515.78 = 413,338.98/x
  3. Step 3: Cross multiply
    719,321.72x = 992,515.78 × 413,338.98
  4. Step 4: Simplify right side
    719,321.72x = 410,245,460,139.10
  5. Step 5: Solve for x
    x = 410,245,460,139.10/719,321.72
  6. Step 6: Final answer
    x = 570,322.64

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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.