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Finding the Fourth Proportional to 503,055.90, 693,988.15 and 298,990.86

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Solution

The fourth proportional to 503,055.90, 693,988.15 and 298,990.86 is: 412,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,055.90 : 693,988.15 = 298,990.86 : x
  2. Step 2: Convert to fraction form
    503,055.90/693,988.15 = 298,990.86/x
  3. Step 3: Cross multiply
    503,055.90x = 693,988.15 × 298,990.86
  4. Step 4: Simplify right side
    503,055.90x = 207,496,113,798.31
  5. Step 5: Solve for x
    x = 207,496,113,798.31/503,055.90
  6. Step 6: Final answer
    x = 412,471.29

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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.