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Finding the Fourth Proportional to 514,998.31, 772,539.49 and 258,699.06

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Solution

The fourth proportional to 514,998.31, 772,539.49 and 258,699.06 is: 388,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,998.31 : 772,539.49 = 258,699.06 : x
  2. Step 2: Convert to fraction form
    514,998.31/772,539.49 = 258,699.06/x
  3. Step 3: Cross multiply
    514,998.31x = 772,539.49 × 258,699.06
  4. Step 4: Simplify right side
    514,998.31x = 199,855,239,875.88
  5. Step 5: Solve for x
    x = 199,855,239,875.88/514,998.31
  6. Step 6: Final answer
    x = 388,069.70

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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.