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Finding the Fourth Proportional to 563,803.92, 778,052.52 and 305,682.84

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Solution

The fourth proportional to 563,803.92, 778,052.52 and 305,682.84 is: 421,844.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,803.92 : 778,052.52 = 305,682.84 : x
  2. Step 2: Convert to fraction form
    563,803.92/778,052.52 = 305,682.84/x
  3. Step 3: Cross multiply
    563,803.92x = 778,052.52 × 305,682.84
  4. Step 4: Simplify right side
    563,803.92x = 237,837,303,982.76
  5. Step 5: Solve for x
    x = 237,837,303,982.76/563,803.92
  6. Step 6: Final answer
    x = 421,844.01

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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.