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Finding the Fourth Proportional to 498,415.10, 687,808.23 and 307,352.06

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Solution

The fourth proportional to 498,415.10, 687,808.23 and 307,352.06 is: 424,143.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,415.10 : 687,808.23 = 307,352.06 : x
  2. Step 2: Convert to fraction form
    498,415.10/687,808.23 = 307,352.06/x
  3. Step 3: Cross multiply
    498,415.10x = 687,808.23 × 307,352.06
  4. Step 4: Simplify right side
    498,415.10x = 211,399,276,375.45
  5. Step 5: Solve for x
    x = 211,399,276,375.45/498,415.10
  6. Step 6: Final answer
    x = 424,143.00

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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.