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Finding the Fourth Proportional to 553,620, 763,995.60 and 298,971.20

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Solution

The fourth proportional to 553,620, 763,995.60 and 298,971.20 is: 412,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,620 : 763,995.60 = 298,971.20 : x
  2. Step 2: Convert to fraction form
    553,620/763,995.60 = 298,971.20/x
  3. Step 3: Cross multiply
    553,620x = 763,995.60 × 298,971.20
  4. Step 4: Simplify right side
    553,620x = 228,412,681,326.72
  5. Step 5: Solve for x
    x = 228,412,681,326.72/553,620
  6. Step 6: Final answer
    x = 412,580.26

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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.