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Finding the Fourth Proportional to 563,028.84, 776,954.16 and 308,374.56

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Solution

The fourth proportional to 563,028.84, 776,954.16 and 308,374.56 is: 425,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,028.84 : 776,954.16 = 308,374.56 : x
  2. Step 2: Convert to fraction form
    563,028.84/776,954.16 = 308,374.56/x
  3. Step 3: Cross multiply
    563,028.84x = 776,954.16 × 308,374.56
  4. Step 4: Simplify right side
    563,028.84x = 239,592,897,230.17
  5. Step 5: Solve for x
    x = 239,592,897,230.17/563,028.84
  6. Step 6: Final answer
    x = 425,542.85

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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.