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Finding the Fourth Proportional to 565,384.64, 779,905.92 and 353,048

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Solution

The fourth proportional to 565,384.64, 779,905.92 and 353,048 is: 487,003.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,384.64 : 779,905.92 = 353,048 : x
  2. Step 2: Convert to fraction form
    565,384.64/779,905.92 = 353,048/x
  3. Step 3: Cross multiply
    565,384.64x = 779,905.92 × 353,048
  4. Step 4: Simplify right side
    565,384.64x = 275,344,225,244.16
  5. Step 5: Solve for x
    x = 275,344,225,244.16/565,384.64
  6. Step 6: Final answer
    x = 487,003.37

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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.