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Finding the Fourth Proportional to 518,825, 715,989.44 and 292,470.50

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Solution

The fourth proportional to 518,825, 715,989.44 and 292,470.50 is: 403,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,825 : 715,989.44 = 292,470.50 : x
  2. Step 2: Convert to fraction form
    518,825/715,989.44 = 292,470.50/x
  3. Step 3: Cross multiply
    518,825x = 715,989.44 × 292,470.50
  4. Step 4: Simplify right side
    518,825x = 209,405,788,049.17
  5. Step 5: Solve for x
    x = 209,405,788,049.17/518,825
  6. Step 6: Final answer
    x = 403,615.45

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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.