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Finding the Fourth Proportional to 486,695.51, 729,024.92 and 391,410.64

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Solution

The fourth proportional to 486,695.51, 729,024.92 and 391,410.64 is: 586,296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,695.51 : 729,024.92 = 391,410.64 : x
  2. Step 2: Convert to fraction form
    486,695.51/729,024.92 = 391,410.64/x
  3. Step 3: Cross multiply
    486,695.51x = 729,024.92 × 391,410.64
  4. Step 4: Simplify right side
    486,695.51x = 285,348,110,513.15
  5. Step 5: Solve for x
    x = 285,348,110,513.15/486,695.51
  6. Step 6: Final answer
    x = 586,296.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.