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Finding the Fourth Proportional to 524,676.80, 785,848.80 and 405,963.20

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Solution

The fourth proportional to 524,676.80, 785,848.80 and 405,963.20 is: 608,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,676.80 : 785,848.80 = 405,963.20 : x
  2. Step 2: Convert to fraction form
    524,676.80/785,848.80 = 405,963.20/x
  3. Step 3: Cross multiply
    524,676.80x = 785,848.80 × 405,963.20
  4. Step 4: Simplify right side
    524,676.80x = 319,025,693,564.16
  5. Step 5: Solve for x
    x = 319,025,693,564.16/524,676.80
  6. Step 6: Final answer
    x = 608,042.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.