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Finding the Fourth Proportional to 723,150.12, 997,842.24 and 400,860

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Solution

The fourth proportional to 723,150.12, 997,842.24 and 400,860 is: 553,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,150.12 : 997,842.24 = 400,860 : x
  2. Step 2: Convert to fraction form
    723,150.12/997,842.24 = 400,860/x
  3. Step 3: Cross multiply
    723,150.12x = 997,842.24 × 400,860
  4. Step 4: Simplify right side
    723,150.12x = 399,995,040,326.40
  5. Step 5: Solve for x
    x = 399,995,040,326.40/723,150.12
  6. Step 6: Final answer
    x = 553,128.64

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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.