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Finding the Fourth Proportional to 542,803.84, 749,054.84 and 313,353.36

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Solution

The fourth proportional to 542,803.84, 749,054.84 and 313,353.36 is: 432,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,803.84 : 749,054.84 = 313,353.36 : x
  2. Step 2: Convert to fraction form
    542,803.84/749,054.84 = 313,353.36/x
  3. Step 3: Cross multiply
    542,803.84x = 749,054.84 × 313,353.36
  4. Step 4: Simplify right side
    542,803.84x = 234,718,849,371.50
  5. Step 5: Solve for x
    x = 234,718,849,371.50/542,803.84
  6. Step 6: Final answer
    x = 432,419.29

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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.