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Finding the Fourth Proportional to 565,005.46, 779,713.24 and 306,884.90

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Solution

The fourth proportional to 565,005.46, 779,713.24 and 306,884.90 is: 423,504.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,005.46 : 779,713.24 = 306,884.90 : x
  2. Step 2: Convert to fraction form
    565,005.46/779,713.24 = 306,884.90/x
  3. Step 3: Cross multiply
    565,005.46x = 779,713.24 × 306,884.90
  4. Step 4: Simplify right side
    565,005.46x = 239,282,219,686.08
  5. Step 5: Solve for x
    x = 239,282,219,686.08/565,005.46
  6. Step 6: Final answer
    x = 423,504.26

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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.