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Finding the Fourth Proportional to 514,997.31, 772,537.99 and 258,698.06

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Solution

The fourth proportional to 514,997.31, 772,537.99 and 258,698.06 is: 388,068.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,997.31 : 772,537.99 = 258,698.06 : x
  2. Step 2: Convert to fraction form
    514,997.31/772,537.99 = 258,698.06/x
  3. Step 3: Cross multiply
    514,997.31x = 772,537.99 × 258,698.06
  4. Step 4: Simplify right side
    514,997.31x = 199,854,079,289.30
  5. Step 5: Solve for x
    x = 199,854,079,289.30/514,997.31
  6. Step 6: Final answer
    x = 388,068.20

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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.