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Finding the Fourth Proportional to 509,745.93, 703,372.29 and 291,920.73

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Solution

The fourth proportional to 509,745.93, 703,372.29 and 291,920.73 is: 402,806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,745.93 : 703,372.29 = 291,920.73 : x
  2. Step 2: Convert to fraction form
    509,745.93/703,372.29 = 291,920.73/x
  3. Step 3: Cross multiply
    509,745.93x = 703,372.29 × 291,920.73
  4. Step 4: Simplify right side
    509,745.93x = 205,328,952,358.57
  5. Step 5: Solve for x
    x = 205,328,952,358.57/509,745.93
  6. Step 6: Final answer
    x = 402,806.46

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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.