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Finding the Fourth Proportional to 563,624.84, 777,784.20 and 308,970.56

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Solution

The fourth proportional to 563,624.84, 777,784.20 and 308,970.56 is: 426,369.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,624.84 : 777,784.20 = 308,970.56 : x
  2. Step 2: Convert to fraction form
    563,624.84/777,784.20 = 308,970.56/x
  3. Step 3: Cross multiply
    563,624.84x = 777,784.20 × 308,970.56
  4. Step 4: Simplify right side
    563,624.84x = 240,312,419,833.15
  5. Step 5: Solve for x
    x = 240,312,419,833.15/563,624.84
  6. Step 6: Final answer
    x = 426,369.46

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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.