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Finding the Fourth Proportional to 719,108.80, 992,567.52 and 417,400

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Solution

The fourth proportional to 719,108.80, 992,567.52 and 417,400 is: 576,126.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,108.80 : 992,567.52 = 417,400 : x
  2. Step 2: Convert to fraction form
    719,108.80/992,567.52 = 417,400/x
  3. Step 3: Cross multiply
    719,108.80x = 992,567.52 × 417,400
  4. Step 4: Simplify right side
    719,108.80x = 414,297,682,848
  5. Step 5: Solve for x
    x = 414,297,682,848/719,108.80
  6. Step 6: Final answer
    x = 576,126.57

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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.