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Finding the Fourth Proportional to 542,991.13, 749,436.81 and 313,585.76

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Solution

The fourth proportional to 542,991.13, 749,436.81 and 313,585.76 is: 432,811.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,991.13 : 749,436.81 = 313,585.76 : x
  2. Step 2: Convert to fraction form
    542,991.13/749,436.81 = 313,585.76/x
  3. Step 3: Cross multiply
    542,991.13x = 749,436.81 × 313,585.76
  4. Step 4: Simplify right side
    542,991.13x = 235,012,712,333.47
  5. Step 5: Solve for x
    x = 235,012,712,333.47/542,991.13
  6. Step 6: Final answer
    x = 432,811.33

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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.