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Finding the Fourth Proportional to 722,996.45, 997,507.10 and 417,031.81

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Solution

The fourth proportional to 722,996.45, 997,507.10 and 417,031.81 is: 575,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,996.45 : 997,507.10 = 417,031.81 : x
  2. Step 2: Convert to fraction form
    722,996.45/997,507.10 = 417,031.81/x
  3. Step 3: Cross multiply
    722,996.45x = 997,507.10 × 417,031.81
  4. Step 4: Simplify right side
    722,996.45x = 415,992,191,400.85
  5. Step 5: Solve for x
    x = 415,992,191,400.85/722,996.45
  6. Step 6: Final answer
    x = 575,372.38

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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.