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Finding the Fourth Proportional to 542,989.32, 749,434.29 and 313,583.94

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Solution

The fourth proportional to 542,989.32, 749,434.29 and 313,583.94 is: 432,808.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,989.32 : 749,434.29 = 313,583.94 : x
  2. Step 2: Convert to fraction form
    542,989.32/749,434.29 = 313,583.94/x
  3. Step 3: Cross multiply
    542,989.32x = 749,434.29 × 313,583.94
  4. Step 4: Simplify right side
    542,989.32x = 235,010,557,429.30
  5. Step 5: Solve for x
    x = 235,010,557,429.30/542,989.32
  6. Step 6: Final answer
    x = 432,808.80

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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.