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Finding the Fourth Proportional to 542,859.66, 749,534.58 and 361,998

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Solution

The fourth proportional to 542,859.66, 749,534.58 and 361,998 is: 499,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,859.66 : 749,534.58 = 361,998 : x
  2. Step 2: Convert to fraction form
    542,859.66/749,534.58 = 361,998/x
  3. Step 3: Cross multiply
    542,859.66x = 749,534.58 × 361,998
  4. Step 4: Simplify right side
    542,859.66x = 271,330,018,890.84
  5. Step 5: Solve for x
    x = 271,330,018,890.84/542,859.66
  6. Step 6: Final answer
    x = 499,816.14

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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.