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Finding the Fourth Proportional to 553,616.57, 763,990.86 and 298,967.75

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Solution

The fourth proportional to 553,616.57, 763,990.86 and 298,967.75 is: 412,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,616.57 : 763,990.86 = 298,967.75 : x
  2. Step 2: Convert to fraction form
    553,616.57/763,990.86 = 298,967.75/x
  3. Step 3: Cross multiply
    553,616.57x = 763,990.86 × 298,967.75
  4. Step 4: Simplify right side
    553,616.57x = 228,408,631,465.87
  5. Step 5: Solve for x
    x = 228,408,631,465.87/553,616.57
  6. Step 6: Final answer
    x = 412,575.50

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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.