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Finding the Fourth Proportional to 520,138.31, 717,729.80 and 290,695.68

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Solution

The fourth proportional to 520,138.31, 717,729.80 and 290,695.68 is: 401,125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,138.31 : 717,729.80 = 290,695.68 : x
  2. Step 2: Convert to fraction form
    520,138.31/717,729.80 = 290,695.68/x
  3. Step 3: Cross multiply
    520,138.31x = 717,729.80 × 290,695.68
  4. Step 4: Simplify right side
    520,138.31x = 208,640,950,813.79
  5. Step 5: Solve for x
    x = 208,640,950,813.79/520,138.31
  6. Step 6: Final answer
    x = 401,125.91

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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.